3. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use the addition property of equality and multiplication property of equality in your answers. (8 points: 1 point for each question)

5x + 2y = 7
3x – y = 2

To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)

Why is this multiplication allowed? (1 point)

What variable will be eliminated when the equations are combined after

the multiplication? (1 point)

Next, add the equations together. Your answer should be a single equation with one variable. (1 point)

Why can you add the equations? (1 point)

Solve the equation for x. (1 point)

Substitute x back into one of the equations to solve for y. (1 point)

What is the solution to the system of equations? (1 point)

Answers

Answer 1

Answer:

Step-by-step explanation:

To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)

5x + 2y = 7

6x –2y = 4

Why is this multiplication allowed? (1 point)

Because the entire equation was multiplied by the same number, the equation remains the same.

What variable will be eliminated when the equations are combined after  the multiplication? (1 point)

The Y variable

Next, add the equations together. Your answer should be a single equation with one variable. (1 point)

11x = 11

Solve the equation for x. (1 point)

X = 1

What is the solution to the system of equations? (1 point)

X = 1 and Y = 1 so the answer is (1, 1)

(If you solve this again, but eliminate the X variable, you will still receive that answer 1, so Y = 1)

Answer 2

Sorry my first answer was wrong


Related Questions

por ejemplo 5/3 o algo si
si puedes y me ayudaria mucho es que si pueden darme la respuesta
pls tengo


no english just spanish and no files just help me

Answers

No entiendo con qué te ayudo?

A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.

HELP ON THIS ONE????

Answers

Answer:

C) 2.6

Work Shown:

a = x, b = 3, c = 4

a^2 + b^2 = c^2  ... pythagorean theorem

x^2 + (3)^2 = (4)^2

x^2 + 9 = 16

x^2 = 16 - 9

x^2 = 7

x = sqrt(7)

x = 2.64575131106459

x = 2.6

pia is planting flowers. The number of tulips she plants is 4 more than half the number of daisies

Answers

It’s number A because it shows the number of tulips she plants is 4 more than half of the number of daises

The expression that represents the number of tulips Pia planted is option A. x/2 + 4.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Number of daisies planted is represented by x.

Number of tulips planted is 4 more than half the number of daisies.

Half the number of daisies is x/2.

4 more than half the number of daisies is x/2 + 4.

Hence the number of tulips planted is given by the expression x/2 + 4.

Learn more about Expressions here :

https://brainly.com/question/29583350

#SPJ2

help me please i shall give the correct answer brainliest

Answers

Answer:

9514 1404 393Answer: c = 6√2 d = 12Step-by-step explanation:The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence ...

Step-by-step explanation:

Answer: c = 6√2 d  = 12

Step-by-step explanation: The sides of any isosceles triangle (opposite the congruent angles) are congruent.

                               hope this helps :)

Find all the factors of 15. A) 1, 3, 5, 15 B) 2, 3, 5, 7, 15 C) 1, 2, 3, 5, 7, 15

Answers

Answer: it is b

Step-by-step explanation:

trust its b

The answer is A ) 1 , 3 , 5 , 15

Which point on the number line represents Negative three-fourths?

A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

It is 1/4 more than -1, so it is -3/4

I am not sure but I think The answer is B

Help.......................

Answers

Answer:

The 2x4 is an example of a product. The last step Jamal needs to use is the subtraction.

Step-by-step explanation:

PEMDAS RULES:

(First to last)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Write an algebraic expression for “three times the quantity q minus eleven.”

Answers

Answer:

[tex]3q-11[/tex]

Step-by-step explanation:

Answer:

3q - 11

Step-by-step explanation:

Read this phrase carefully.

(three times the quantity q minus eleven.)

"3 times the quantity q" means adding q three times or "3q"."minus 11" means subtracting 11 from "3q".

Conclusion:

Our expression created is 3q - 11.

Hoped this helped.

[tex]GeniusUser[/tex]

ISSS THISSSSSS RIIGHTTTTTT

Answers

Answer:

It's A and C

Step-by-step explanation:

when you multiply by a fraction it's the same as dividing it by 2 or 4 in this case. which would make A and C much less and B and D.

your answer would be A and C

A.) 1/4 × 6,766 = 1,691.5

C.) 1/2 × 6,766 = 3,383

How to calculate distance between two points (-3,2) and (3,0).
And pls find the radical

Answers


√74
Explanation:
To calculate the distance use the
distance formula
d=√(x2−x1)^2+(y2−y1)^2

−−−2
where
(x1,y1)and (x2,y2)
are 2 coordinate points
The 2 points here are (-3 ,7) and (4 ,2)
let(x1,y1)=(−3,7) and (x2,y2)=
(4,2)⇒d=√(4−(−3))2+(2−7)2=√49+25=√74←in radical form
I think it’s y=3x-9?

Please help! Math mid chapter check only this one question that has stumped me and so far I knew everything! Please help quickly! Thx

Answers

The original price is $70.00

The problem states that $59.50 is the discounted price, this means that it is not the 100% price of the aquarium. Since 15% is the discount, the remaining price is equivalent to 85% of the original price, which amount to $59.50.

100% - 15% = 85%

100% - 15% = $59.50

To get original price, we must divide the discounted price by its corresponding percentage.

$59.50 / 85% = original price

$59.50 / 0.85 = $70

To check, we must get the 15% equivalent amount from the original price.

$70 x 15% = $10.50 discount value

$70 - $10.50 = $59.50 discounted price

70.00 because that’s what the answer would be that you’re looking for hope this helps

Translate the phrase into a math expression.

Twelve more than the quotient of six divided by three.


A. (3÷6)+12

B. 3÷(6+12)

C. (6÷3)+12

D. 6÷(3+12)

Answers

Answer:

C

Step-by-step explanation:

Quotient of 6 divided by three translates to (6/3) and then +12.. so you get (6/3)+12

Help me please---I'm so confused right now

Answers

Answer:

3.50 x 52 = $182 is the answer.

Answer:

$182

Step-by-step explanation:

If he keeps paying $3.50 each week on chips weekly, he will spend $182 on chips in 52 weeks.

Hope this helps.

Please don't spam. I will be so ****** if you do

Answers

Answer: please don't be ********* at me also the answer is c

C is the correct answer

Please Answer this question

Answers

The answer is C because you have to add all of the blocks and then multiply by 3 for being the length of the blocks

Which figure is a scalene triangle? Triangles in image

Answers

Answer: The one in the top right corner with the 6 in and 3 in

Step-by-step explanation:

X^2 = 6^2 + 3^2

X^2 = 36 + 9

All the sides are different.

Ok done. Thank to me :>

Please give me the right answer and i will give you 100 points

Answers

I did the work and i believe that the answer is C
It is c because the slope is -2 and the y intercept is 5

What is the range of possible sizes for side x?

Answers

Answer:

What’s the range of possible sizes for side x?

A:

Answer:1.3< x < 6.7 Step-by-step explanation:we know thatThe Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the l…

Step-by-step explanation:

What’s the range of possible sizes for side x?

A:

Answer:1.3< x < 6.7 Step-by-step explanation:we know thatThe Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the l…

Person above is correct 1.3

complete the table for given rule

Answers

Answer:

x               y

4/3            2

8/3           10/3

22/3        24/3

Step-by-step explanation:

Substitute y with 2 for the first problem

2=x+2/3

Subtract 2/3 on both sides:

4/3

Thus:

x               y

4/3            2

Now Substitute x with 8/3 for the second problem

y=8/3+2/3

Add:

y=10/3

Thus:

x               y

8/3           10/3

Now Substitute x with 8/3 for the third problem

y=22/3+2/3

Add:

y=24/3

Thus:

x               y

22/3        24/3

Thus the Full equation is:

x               y

4/3            2

8/3           10/3

22/3        24/3

Hope this helps!

Answer:

x           y

4/3        2

8/3        10/3

22/3      8

Step-by-step explanation:

y=x+2/3

2=x+2/3

2-2/3=x+2/3-2/3

6/3-2/3=x

4/3=x

y=x+2/3

y=8/3+2/3

y=10/3

y=x+2/3

y=22/3+2/3

y=24/3

which expression uses the commutative property to make it easier to evaluate 1/6 • 5/7 • 18?

Answers

It’s A, Because if you do KCF (Keep Change Flip) It would be 1/6 X 7/5.

What is the average dance time per week for Suzette relative to her goal number of hours?
Relative to Suzette's goal, her average dance time over the last five weeks is ____ hours.

Answers

Answer:

-0.07

Step-by-step explanation:

(im not 100% sure so if u gte it wrong im sorry)

You select a marble without looking and then put it back. If you do this 5 times, what is the best prediction possible for the number of times you will pick a pink marble?

Answers

Since the ratio of pink marbles to other marbles is 1:5 meaning only 1 pink marble for every five you pick usually, the number of times you might pick a pink marble is 1 if you did it 5 times.

A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.]

Answers

Answer: Your answer is 5.

Step-by-step explanation: I hope my answer will help you.

Answer:

5

Step-by-step explanation:

90/18 = 5 years

Find the missing number.

Answers

25% - from 180 degrees

Answer:

25% - from 180 degrees

Step-by-step explanation:

You and your family go out for dinner the bill is $240.00. You have a coupon for 20% off. After the discount, you want to leave a tip of 15%. How much in total , will you leave the waiter?

Answers

Answer: 28.8

Step-by-step explanation: first we find out 20 percent of 240=48

240-48=192 after discount

15 percent of 192= 28.8

28.8
step by step explanation

The ratio of pineapple juice to sparkling water that Sylvia and her
friends used to make punch last week was 3 : 2. They used 4 quarts of
water last week. This week, Sylvia and her friends want to make three
times as much punch.
PART A
Is the relationship between the amount
of pineapple juice and the amount of
sparkling water proportional? Explain.
PART B
How much pineapple juice do Sylvia and
her friends need for this week’s punch?
18 quarts
12 quarts
6 quarts
3 quarts

Answers

Pineapple:Sparkling water

              3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts  1=2 quarts

9(2)=18

B: 18 quarts

Help i need this it’s due today

Answers

Answer:

A or C

Step-by-step explanation:

A submarine travels at an elevation of 75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work. Please help. :(

Answers

Answer:

it is relative to above sea level -16 3/8

Step-by-step explanation:

only do a row and show where the numbers are

..............................algebra

Answers

Im gonna guess 3 because i think so
…….. I suck at algebra but I need points sorry

Please help! This is due tomorrow!

Answers

[tex]\left(\dfrac 14 x -7 \right) - \left(\dfrac 34 x - 5 \right)\\\\\\=\dfrac 14 x -7 - \dfrac 34 x +5\\\\\\=x\left(\dfrac 14 - \dfrac 34 \right) -2\\\\\\=- x\left(\dfrac 24 \right) -2\\\\\\=-\dfrac 12 x -2[/tex]

Answer:

-1/2x-2

Step-by-step explanation:

Distribute the negative sign from the right side to make the equation positive

1/4x - 7 + (-1)(3/4x) + (-1)(-5)

(basically multiplying -1 to 3/4x and -5 to eliminate it)

1/4x - 7 + -3/4x+ 5

Make the equation similar

(1/4x + -3/4x) + (-7 + 5)

combine like terms

1/4x + -3/4x = -2/4x --> Simplifies to -1/2x

Do the other integers

-7 + 5 = -2

Put it together

-1/2x-2

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