(Will l give 25 points!) Solve the system of linear equations by substitution. -8x + y = 5 and 5x - y = 3

Answers

Answer 1

Answer:

x = -8/3 and y = -49/3

Step-by-step explanation:

(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.

-8x + y = 5                                        <--- Original equation

y = 5 + 8x                                         <--- Add 8x to both sides

(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.

5x - y = 3                                          <--- Original equation

5x - (5 + 8x) = 3                               <--- Substitute 5 + 8x for "y"

5x - 5 - 8x = 3                                  <--- Distribute (-) in the parentheses

-3x - 5 = 3                                        <--- Combine terms with "x"

-3x = 8                                              <--- Add 5 to both sides

x = -8/3                                             <--- Divide both sides by -3

(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".

y = 5 + 8x                                         <--- Original (rearranged) equation

y = 5 + 8(-8/3)                                   <--- Plug (-8/3) for "x"

y = 5 - 64/3                                       <--- Multiply

y = 15/3 - 64/3                                   <--- Convert 5 into a fraction

y = -49/3                                           <--- Subtract

(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.

5x - y = 3                                             <--- Original equation

5(-8/3) - y = 3                                      <--- Plug (-8/3) for "x"

-40/3 - y = 3                                        <--- Multiply

-40/3 - y = 9/3                                     <--- Convert 3 into a fraction

-49/3 - y = 0                                        <--- Subtract both sides by 9/3

-49/3 = y                                             <--- Add both sides by "y"

The value of the system of equations is x = -8/3 and y = -49/3.

Answer 2
this question is hard what the heck

Related Questions

Math-Measurement Unit

Answers

The volume of the candle box is 1024 cm².

I don't know how to do the purple cube.

The volume of the candle box:1024cm^2.
Purple cube:?

Find the surface area of this figure

Answers

Answer: 336 square inches

Surface area

6x12 + 8x12 + 10x12 + 8x6

72 + 96 + 120 +48

336

Let me know if this helps

Answer:

336 square inches

Surface area

6x12 + 8x12 + 10x12 + 8x6

72 + 96 + 120 +48

336

Let me know if this helps

Step-by-step explanation:

Your classmate says that if she rolls a dice, it is highly likely that she will roll an even number. Identify whether she is correct or incorrect. Justify your answer in 1-2 complete sentences.
Please Help ASAP if you help with this please help with my other unanswered questions worth more points!

Answers

Answer: it's wrong

Step-by-step explanation: because there are 6 sides of a die, so there is a 1/6 chance of getting any number between 1 and 6.

reason: this'll help you know how to turn it into a fraction.

Chosen possibility of an action    

over (or fraction bar)

total amount of possibilities

so now that you know why, now we find out the possibilities of  rolling an odd and even numbers between 1 and 6.

1, 3, 5 = 3/6 = 1/2

2, 4, 6 = 3/6 = 1/2

which means there is 1/2 chance of getting either an even or an odd. so they are incorrect because they are as likely as to not likely to be rolled on.

Answer: they are wrong

Step-by-step explanation:  there is 6 sides of a die, so there is a 1/6 percent chance and number between 1 and 6

1, 3, 5 = 3/6 = 1/2 = 50%

2, 4, 6 = 3/6 = 1/2+= 50%

Please help 10 points each but beware if you use my points for no reason I'll report you

Answers

Step-by-step explanation:

base=9

height=10

V =1/3 bh

V=1/3 x 9 x 10

V=30

hope it helps

base=9
height=10
V=30
you can also solve this by just figuring out the w

Type a digit that makes this statement true.
321,30 is divisible by 4.
Submit

Answers

Answer:

321 304

Step-by-step explanation:

is divisible by 4 so is 321 308

321,312 is also diversable by 4

in the graph △pqr ≅ △ xyz

Answers

Answer:

The answer would be C.

Step-by-step explanation:

We can tell that it has been translated, meaning that the answer will either be C or D. A reflection across the x axis would already reflect PQR six units left, meaning the answer would be C. Sorry for the bad explanation I'm really tired, I hope this helps! :)

The correct choice is C

This has been translated

8th grade word problem, show steps please (will give brainiest) :)

Answers

Answer:

There are 24 students and teachers that rode in vans, and there are 385 students and teachers that rode in buses.

Step-by-step explanation:

First we are going to set up a system of equations where:

b= number of buses

v= number of vans

We know from the equation that each bus transported 55 people and that each van transported 12 people and that there was a total of 409 people transported. We also know that the number of buses was 5 more than the number of vans.

Knowing that we can set up our system:

[tex]\left \{ {{55b+12v=409} \atop {b=v+5\\}} \right.[/tex]

Since we know what b is equal to, we can now use the substitution method to plug the value of b from the bottom equation into the one on the top and solve for variable v.

55(v +5)+12v =409

From there we can distribute 55 into (v+5)

55v +275+12v =409

We can now combine like terms.

67v +275 = 409

From there we subtract 275 from both sides of the equation to isolate the variable.

67v +275 = 409

      -275    -275


After doing this, we now divide both sides of the equation by 67 to solve for v.

[tex]\frac{67v}{67} =\frac{134}{67}[/tex]

We now know that v, the number of vans is 2 and can plug that into our bottom equation from our system of equations ([tex]b=v+5[/tex]).

[tex]b=2+5\\b=7[/tex]

Knowing that there are 7 buses and 2 vans, we can now plug these numbers into the terms in the top equation of our system. 55b and 12v.

[tex]55(7)=385[/tex]

[tex]12(2)= 24\\[/tex]

385 people rode buses. 24 people rode vans

Check your equation

409 people went in total. 385 + 24 = 409.

person above is correct

30 POINTS PLS HELP
1) If y is the amount of dog food in the bin, and x is the number of days the dogs have been fed, write an equation to represent the amount of food left in the old dog's bin.


You are pet sitting your neighbor's dogs for a couple of weeks. Each dog must be fed a different type of food. The instructions say to feed the old dog 2/3 pound of food each day from the bin with 25 lbs of kibble in it. The puppy is to get 1/4 pound of food each day from the bag with 20 lbs of puppy kibble in it. Use your system of equations to calculate the number of days until both containers have the same weight of food in them.

2)If y is the amount of dog food in the bin, and x is the number of days the dogs have been fed, write an equation to represent the amount of food left in the puppy's bin.

3)Use your equations to solve to find the number of days when both containers will have the same weight of food in them. (check your solution!)

Answers

The equation computed shows that the number of days until both containers have the same weight of food in them will be 12 days.

How to calculate the equations?

From the information given, the instructions say to feed the old dog 2/3 pound of food each day from the bin with 25 lbs of kibble in it. the equation will be:

= 25 + 2/3d

= 25 + 0.67d

Also, the puppy is to get 1/4 pound of food each day from the bag with 20 lbs of puppy kibble in it. This will be:

= 20 + 1/4d

= 20 + 0.25d

The number of days until both containers have the same weight of food in them will be:

25 + 0.67d = 20 + 0.25d

0.67d - 0.25d = 20 - 25

0.42d = 5

d = 5/0.42

d = 11.9

d = 12 days

Learn more about equations on:

https://brainly.com/question/2972832

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your answer should be d=12 based on what you explained the final answer is 12

Solve for x using cross multiplication.

Answers

Step-by-step explanation:

[tex] \frac{5x}{7} = \frac{2x - 4}{3} \\ [/tex]

[tex]5x \times 3 = 7(2x - 4) \\ [/tex]

[tex]15x = 14x - 28[/tex]

[tex]15x - 14x = - 28[/tex]

[tex]x = - 28[/tex]

Answer: Heyaa! ~

Your Answer for X using cross multiplication is... -28

Step-by-step explanation:

Solve for x by cross multiplying.x = -28

Hopefully this helps you! ^^

Noa drove from the Dead Sea up to Jerusalem. When she arrived in Jerusalem after 1.5, points, and 5 hours of driving, her altitude was 710 meters above sea level. Her altitude increased at a constant rate of 740 meters per hour.
y= ???
(this is Writing linear equations word problems)
correct answer gets brainly

Answers

Answer:

-400 meters below sea level

Step-by-step explanation:

740(1.5) +y=710

740 (1.5)+ 710

1010 + y =710

y= 710 -1110

so y is -400

400 meters hope helps

At the craft store, Ayana bought a bag of blue and orange marbles. She received 41 blue marbles and 9 orange marbles. What percentage of the marbles were blue? Write your answer using a percent sign (%).

Answers

Answer: 82%

Step-by-step explanation:

41+9=50

50*2=100

41*2=82

82%
Is the answer to your question

CAN SOMEONE PLSSS HELP I AM GONA FAIL.

Answers

Answer:
A is false, the rest are true.

A is false the rest are true hope it helps

Help please, thank you.

Answers

92 is the answer to your question
1) He had 92 points after beating
level two.
2)He got 50 points in level
3) The rest of the team scored 41
points
1) Tim drove 23 km

Monica has walked 3/2 miles in 2/3 of an hour. How many miles can Monica walk in one hour?

Answers

Answer:

2.25 Miles is how many miles Monica can walk in one hour.

Step-by-step explanation:

You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and you get 2.25 which is how many miles she walks in one hour.

The answer is 2.25 miles.

please answer asap. thank you

Answers

Answer:

Step-by-step explanation:

Because the length width and height of the inch cube are all the same, 1/2 plus 1/2 is 1 so 8 cubes 2 for the length, height and width

as for the cubes volume, 1/2* 1/2* 1/2 = 1/8^3

amd the last ones u solve with the answers to the first 2,

8 Cubes * 1/8^3 = 1inch^3

Hope this helped have a good day

1 inch 3
Please mark me the brainliest

If you order 5 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?

Answers

6

30 divided by 5 is 6.

5 times 6 is 30.

meaning there are 6 slices of pizza per box.

Answer:

6

Step-by-step explanation:

If you divide 30 by 5 you would get 6 and 6x5 is 30 aswell

Type a digit that makes this statement true.
5,474,86
is divisible by 9.
Submit

Answers

2 is the answer. 5474862/9= 68318
Hope it’s correct and it helps!!
Answer :
5474852 the other numbers would not fit
Step-by-step explanation
5474861=608317.89 wrong
5474862=608318.00 correct
5474863=608318.11 wrong
5474865=608318.22 wrong
Etc
I hope this helps

Point A is located at (-5, -8). After it is translated, point A' is located at (-5, -5). What was the translation?

1. 3 units up
2. 3 units down
3. 3 units to the right
4. 3 units to the left

Answers

The x value is the same, the y value is different,

Y is the up and down movement.

Moving from -8 to -5 is an upward move of 3 units.

Answer: 1, 3 units up.

 

3 units up which would make the answer 1.

Who ever finishes 1-3 first gets marked brainliest

Answers

Answer:

1st question is D, 2nd question is G, 3rd is D

Step-by-step explanation:

1st, It says plus the cost of s, so you can mark out every other one except D because it says plus, you don't multiply it with the cost of the cheeseburgers. 2nd, For the next one all you have to do is subtract each number on the top by 12. Like 2 - 12 = -10, 4 - 12 = 8, and etc. Since the others don't have that like 1 - 12 does not equal -12 like it says in J. Also unlike F none of the answers can be positive, and in H it is basically adding the numbers instead of subtracting and putting a negative sign in front. Therefore G is the answer for 2. 3rd, because for every mile it costs 2.50 so that's the relationship between the table. Basically since every mile costs 2.50, you multiply 2.50 by the distance. Which if you do the inverse is the cost = distance divided by 2.5.

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.

What is the relative frequency of selecting a diamond?


23%

25%

30%

42%

Answers

Answer:

23%

Step-by-step explanation:

Answer is 23%

Step by step

Sarah described the following situation:

When more apples grew in the backyard, the pet cat stayed indoors for a longer time.

Which of the following best describes the situation?

This is an example of correlation because there is an obvious relationship between the two scenarios.
This is an example of causation because apples cause cats to stay indoors.
This is an example of correlation because apples cause cats to stay indoors.
This is an example of causation because cats dislike apples.

Answers

Step-by-step explanation:

This is an example of correlation because there is an obvious relationship between the two scenarios.

This is an example of correlation because there is an obvious relationship between the two scenarios. The correct option is A.

What is a correlation?

The statement "when more apples grew in the backyard, the pet cat stayed indoors for a longer time" is an excellent example to explain the difference between causation and correlation.

Is the very fact that the apples grew in the backyard what makes the pet cat stay indoors longer?

Sure, you know it isn't. sure there is another cause that influences both the growing of apples and the time the pet cats stay indoors. So, there is no causality relationship.

Given that some fact is influencing both phenomena, you find that they behave in a way that one permits predict the other, which is what correlation indicates, but not that one is the cause of the other.

When you know the cause you might change the final behaviour, but when you know that the variables are correlated you just can use one to predict the other.

Therefore, this is an example of correlation because there is an obvious relationship between the two scenarios. The correct option is A.

To know more about correlation follow

https://brainly.com/question/1800021

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Select the correct answer from each drop-down menu.
Reuben is making a replica of the US flag for his school project.
He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.

The perimeter of the scale drawing is
centimeters.

The perimeter of the actual flag is
inches.

Answers

Answer:

14.5 cm, 29 in.

Step-by-step explanation

The perimeter(P) is 2L+ 2W, so P = 2 * 4.75 + 2 * 2.5 = 14.5.

Double 14.5, because every 0.5 cm is 1 inch. 14.5 * 2 = 29.

Answer is 14.5 cm , 9 in

Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.




As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.




100 points for a serious Answer


Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.


Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.

What are the dimensions of the painting on the new scale drawing?

Answers

Answer:

5 in. by 4 in.

Step-by-step explanation:

The proportion of 1/4 is larger than 1/6 so the new scale drawing is larger. The new scale drawing is the drawn blank. The dimensions are 5 in. x 4 in. for the background. The H's dimensions are 1/2 in. width and also 1 in. The  height is about 4 in. Length, width and height are all dimensions which is what I was trying to find. I'm sorry if this didn't help I didn't really know what it was asking.

5in by 4in is the answer

Camille and her 3 teammates ran a 1500-meter relay in 5.564 minutes. What was the average running time for each team member?​

Answers

I got 2782

because I did was multiply 1500 and 5.564 then divided by 3 and got 2782 as my answer

Question
Evaluate the expression.

(−112)2

Answers

Answer:

1/144

step explanation:

(-1/12)^2 is -1/12 multiplied by itself twice. When multiplying fractions you can multiply straight across. When two negatives are multiplied together it makes a positive, so the answer is 1/144.

it’s 1/144 that’s the awnser hope this help you outt

I NEED HELP QUICK DUE IN 20 MINS

Answers

Step-by-step explanation:

12• the graph pass by in × intercept - 3 / 2 or - 1 • 5

in y intercept 1 because

y - 1 = 2 / 3× means y = 2/3 × + 1 and y intercept we can get by assuming if × is = 0 and × value by assuming if y is equal to 0

so; × = { -3/ 2 , 0 } or { - 1 • 5 , 0 }

y= { 0 ,1 }

13 • by the same formula become the graph pass in × intercept -4/ 3 or 1• 3`

y intercept 4

12 x 483hhdidieoeeoe

help me please
tysm!

Answers

Answer:

2 is the awnser

55.^

Becuase 6-5=1

1-6=5

5-4=1

1-3=2

the answer is 2

the previous person is correct

ill give brainly and 20 points

Answers

Answer: The answer is C) m=3p

Step-by-step explanation:

The answer is: C

Because 1(pound) of meat is equal to 3 pattys

So if m=1 pound, then p=3

M is independent because it can stand by its self and P is dependent because it depends on how many pounds of meat you have

Name 3 types of rational numbers you can plot on a number line.

Answers

Answer:

Center of the number line (origin)Positive rational numbers are marked on the right side of zero Negative rational numbers are marked on the left side of the zero
Anything above zero anything negative from zero and 0 itself

Need help As soon as possible

Answers

A fit the first one and B for the second one
12 is positive and 13 would be negative
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