Solve the system of equations using the elimination method.

4x+3y=16
x=-3y+13

Answers

Answer 1
Step by Step Solution
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System of Linear Equations entered :

[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :

-3y - 4x = -7 -3y + 16x = 13



Solve by Substitution :

// Solve equation [2] for the variable x


[2] 16x = 3y + 13

[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]

[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y


[1] 15y = 15

[1] y = 1
// By now we know this much :

x = 3y/16+13/16
y = 1
// Use the y value to solve for x

x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
Answer 2

Answer:

 x=1   y=4

Step-by-step explanation:

1.  4x+3y=16

   x=-3y+13

2. 4x+3y=16

    x+3y=13

3.  4x+3y=16

     -x-3y=-13

4.  3x=3

5.   x=1

6. (1)=-3y+13

7.  1-13=-3y

8.   -12=-3y

9.    y=4


Related Questions

Answer the question below if you need more info please ask in the comment section

Answers

Answer:

C

D

Step-by-step explanation:

part A

an area is always the multiplication of 2 dimensions (which leads to a square for totally regular shapes like a square or a circle).

in case of a rectangle it is length × width.

and that means in our case here

1 mile × 1/6 mile = 1/6 mile²

after all, 1×1/6 = 1/6.

I know this might look disappointing, but do not forget : a mile² is something else than a mile.

part B

3/4 (or any fraction) of something means to "apply" a factor of 3/4 (that fraction) to that something.

3/4 of 12 apples = 3/4 × 12 = 3×12/4 = 36/4 = 9

and indeed, 9 apples represent 3/4 of 12 apples.

so, yes, it means we need to multiply by the top part of the fraction (numerator) and divide by the bottom part (denominator).

therefore, D is the right answer.

for our example here, 3/4 of 1/6 mile² is

3/4 × 1/6 = 3/24 = 1/8 mile²

Which bar model could be used to show this situation?

Answers

Answer:

C. The attached

Step-by-step explanation:

Our total is 44 dollars. This means that the largest bar, our whole, should be 44.

-> This rules out option D

Now, 4 sweatshirts are being bought. This means the 44 dollars should be broken up into 4 different parts since they all "cost the same amount of money."

-> This rules out options A, C, and D.

This leaves us with the correct option of option C.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: C

Explanation: Makes the most sense.

help ill give brainlest pls

Answers

Answer:

The answer is C. The translation of a line is a pair of parallel lines.

Step-by-step explanation:

A, B, and D are true. C is not true, and therefore the correct answer.

the answer is c

i hope this helps, it took me like 10 minutes to find

Want to help me out here?

Answers

Answer:

30 degrees

Step-by-step explanation:

I'm guessing this is a isosceles triangle which means that the the 2 base angles are 75 degrees meaning that if u add them up together that is 150 degrees and to find the angle BAC you have to do 180-150 which means it is 30 degrees

Order each set of numbers from least to greatest.
c. 150, -155, 145, -175, 160, -1

d. 15, 25.3, -25, 15 1/4 1 4​, 15, 1/5− 1 5​, -25 1/4 1 4​, 15.7

Answers

1) -175, -155, -1, 145, 150, 160
Following this question for my own personal

You select a marble without looking and then put it back. If you do this 3 times, what is the best prediction possible for the number of times you will pick a marble that is not green?

Answers

Answer:

1 out of 3 times more likley but

Step-by-step explanation:

If you have a spinner with 5 slots, what is the compound probability of spinning an even number, then an odd number? Expressed as a percent?

Answers

Since the spinner has 5 slots it contains 3 odd and 2 evens,

Odds ⇒ 1, 3, 5Evens⇒ 2,4

this can be expressed as

[tex]\frac{2}{5} =\frac{x}{100}[/tex], cross multiply and we get

[tex]5x=200[/tex]

[tex]x=40[/tex]%

If you have a spinner with 5 slots, what is the compound probability of spinning an even number then an odd number?


75% odd 25% even

Which of the following describes a constitutional monarchy?

a
The king or queen's power is limited by a constitution.

b
The king or queen has unlimited power.

c
The leader is selected through free elections.

d
The leader often takes power through force.

Answers

Answer:

it is A

Step-by-step explanation:

the king or queen's power is limited by a constitution

Can you help me on this one question Thanks! by the way can you please not just answer random things that makes it so no one else can answer

Answers

Answer:

here you go dont sumit the file or else ms. miller will know you cheated only the promblems just listen to me

Help me find out definition but use basic sentences! I will give a brainlist point! :)

Answers

Alike: Prisms and pyramids are solid geometric shapes that have flat sides, flat bases as well as angles.

Differ: Prisms have two bases, pyramids only have one.
Hope this helps :)
Alike - 3D, at least one base, faces are polygons.
Different - Prism has 2 bases, pyramid has one, prism faces are rectangles, pyramid faces are triangles.

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 5 more than two times the length of the bottom of the triangle. The last side is 8 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

Step-by-step explanation:

P = 4x + 24

Step-by-step explanation:

Sides of the triangle:

bottom = x

side1 = 2x + 13

side2 = x + 11

Perimeter is the sum of side lengths:

P = x + 2x + 13 + x + 11 = 4x + 24

Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
PLEASE HELP!!!!!!!!!!!!!!!! HELP!!!!

Answers

Answer:

Length of CD: 10.2956

Step-by-step explanation:

The length of the horizontal is 9. The length of the vertical is 5. Plug these two into the pythagorean theorem: [tex]9^2+5^2=(CD)^2[/tex] which simplifies to: [tex]106 = (CD)^2[/tex]. That simplifies to 10.2956

which expression results in a sum or difference of three and ten forty seconds

Answers

Hello There, today we will solve your problem,

Number 1,

Since we know the outcome to the equation has to [tex]3\frac{10}{43}[/tex], we can solve each problem regularly to get the answer

_________________

[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}[/tex]

Solve for the difference

[tex]6\frac{5}{7}-6\frac{2}{6}\\\\3\frac{8}{21}[/tex]

_________________

[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}[/tex]

We simply can eliminate this option due to it being addition, when one of the numbers is already bigger than what we want,

_________________

[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:THREE}}\mid}}[/tex]

Solve for the difference

[tex]8\ \frac{8}{14}-5\ \frac{1}{3}\\\\3 \frac{5}{21}[/tex]

This equation also equals to [tex]3 \frac{10}{42}[/tex], so we found our answer!

Is this a glitch or do i have to get 5 more brainliest?

You can have the points if u figure it out lol

It says i only have 5 brainliest even though i have 12

Answers

Answer:

Step-by-step explanation:

They mods barely reply.

I'd say maybe update the app. The same thing happens to my account. Some info aren't always updated.

Solve for x: 3(x - 1) - 5x = 1 - 7(2 + x)
ASAP PLS

Answers

Answer:

x = -2

Step-by-step explanation:

hdiwnohdiwmnwidn

3(x - 1) - 5x = 1 - 7(2 + x)

3x - 3 - 5x = 1 - 14 + 7x

3x - 5x = -2x

-2x - 3 = 1 - 14 + 7x

1 - 14 = -13

-2x - 3 = -13 + 7x

      +3 |  +3 + 7x

    -2x  | -10 + 7x

      2   |           2

        x = -10 + 4.5x

4.5 rounded is 5.

x = -10 + 5x

-10/5 = -2

x = -2Let me know if this is the correct answer. :)

Please Help! PRONTO!
Suppose the membership fee was $180. For how many months would this have been?

A) 15

B) 18

C) 21

D) 24

Answers

Step-by-step explanation:

the answer is

B) 18

judging by tha fact that its 10 dollars per month

It’s B.
Because for three months it’s 30$ so that mean for one month it’s 10$. So now divide 180 by 10 and you get the answer

Stefanie is painting her bedroom. She can paint 12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one hour?

Answers

Answer:

2 1/18 I think Ok so don't get me wrong

please help me with this thanks!

Answers

Answer:

first question z = 9

second question is not

third question h = 3 3/4

Step-by-step explanation:

Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.

79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85

Which of the following histograms represents this data?

Thank you!

Answers

Answer:

the third one is the correct one

Step-by-step explanation:

because there are 5 numbers between 90 and 99 and 6 number between 80 and 89 and the third diagram is the only one that matches

Can you help me please?

1. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Write and solve a multiplication equation to find how many cans the coach bought?
2. After dropping 5ºF, the temperature was 37ºF. Write a subtraction equation to show what the starting temperature was?
3. Troy sprinted down the hallway for a science project. He ran a total of 40 meters in 20 seconds. What was his average speed?

Answers

Step-by-step explanation:

1) let n be number of cans

if 1 can has 3 tennis balls, then

n cans will have 3n (n*3) tennis balls.

thus, 3n= 27 (equation)

n=27/3

n=9

2) let the initial temp. be y

y - 5° F = 37 ° F

3) average speed= total distance/ total time

= 40 m / 20 s

= 2 m/s

let me know if there's something you didn't understand, thank you!

-s.

1.) 9x3=27
2.) 42-5=37
3.) 2/m per second
Hope this helps!

Is the given value a solution of the inequality?k-22>20;k=38

Answers

No u have to take the numbers u end with and put them let’s say 22<20. 22 is bigger than 20 I hope this helped

UH, a little help, please???

Problem Situation:
Eric is adding water to a 60-gallons pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?

Inequality that represents this situation:
27 ≤ 12 + 6x

To solve the inequality, you can begin by solving the equation as shown.

Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

!!!!PLEASE TELL ME WHAT LETTER GOES IN WHAT BOX!!!!

Answers

Answer:

2.5 minutes

Step-by-step explanation:

Answer:

He will need to wait 3 more minutes so that the 60-gallon pool will be filled up to 30 gallons.

Step-by-step explanation:

He said that he wanted to be at LEAST 27 gallons, so it's ok for it to be 30 gallons. (Hope this helps)

100,000,000,000.2 divided by 83384.432

Answers

Answer:

1199264.63012

Step-by-step explanation:

100,000,000,000.2 / 83384.432 = 1199264.63012

Answer:

1199264.63012

Step-by-step explanation:

100,000,000,000.2 divided by 83384.432 is 1199264.63012.

help with this simple question i will give you brainly pls

Answers

The large pool drains faster than the small pool fills. The large pool is draining at 2,400 gals per hour , whereas the small pool is filling up at 1,500 gals per hour!

I need help with this one



Q14

Answers

Answer:

Ryanne is 14

Let’s make her brother “x”

Her brother is three more then half her age.

So

X= 14/2 + 3

So solve.

14/2=7

7+3=10

X=10

Her brother is 10 or (c)

Answer:

He's 10

Step-by-step explanation:

14 ÷ 2= 7

7+3= 10

Hope this helps! :)

What multiplies to give you 15 and adds to give you -8?

Answers

Answer:

The system of equations is:

        x + y = 15

           xy = 15

Step-by-step explanation:

solve the first for y and substitute in the second:

            y = 15-x

      x(15-x) = 15

     15x - x� = 15

15x - x� - 15 = 0

-x� + 15x - 15 = 0

x� - 15x + 15 = 0

Answer:

  x + y = 15

          xy = 15

Step-by-step explanation:

           y = 15-x

     x(15-x) = 15

    15x - x ? = 15

15x - x ? - 15 = 0

-x ? + 15x - 15 = 0

x ? - 15x + 15 = 0

Hope you get it right!!

PLEASEEEE GIVE BRAINLIST!!!

What is the 15th sequence in 5, 7, 9, 11, 13...?
A. 150
B. 103
C. 100
D. 15

Answers

I think it's 103

Step-by-step explanation: there isn't really an explanation

You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a prime number and not flipping heads is [__].

Answers

Answer:

3/10 or 0.3

Step-by-step explanation:

The probability of spinning a prime number:

There are 3 prime numbers (2, 3, 5) and 5 possible outcomes

3/5 is the probability of spinning a prime number

The probability of not flipping head (flipping tails)

1/2

Multiply the probabilities together

3/5 x 1/2

3/10

Complete the expressions using the distributive property and the greatest common factors.

25y + 30 = 5( __y + __ )
−12y + 15 = −3( __y + (__) )
36y − 9 = 3( __y − __ )

Answer the blanks, please

Answers

25y + 30 = 5( 5y + 6)
−12y + 15 = −3( 4y + (-5) )
36y − 9 = 3( 12y − 3)

Complete expressions using the distributive property are:

25y + 30 = 5( 5y + 6)−12y + 15 = −3( 4y + (-5) )36y − 9 = 3( 12y − 3)

What is distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Given three incomplete equations

25y + 30 = 5( __y + __ )

−12y + 15 = −3( __y + (__) )

36y − 9 = 3( __y − __ )

from equation 1

25y + 30

taking 5 common

=>5(5y + 6)

from equation 1

−12y + 15

taking -3 common

=>−3( 4y + (-5) )

from equation 1

36y − 9

taking 3 common

=>3( 12y − 3)

therefore, The Solved equation is a way of simplification using the distributive property.

Learn more about the distributive property here:

https://brainly.com/question/5637942

#SPJ2

Use the figure to find each angle measure

Answers

Hello!

x= 180 - 65 -36

=> 79°

z= 180 - 36

=>144°

(y+10 ) = 65°

Answer:
x = 79, y = 55, z = 144

Solution:
x = 180 - 65 - 36 = 79
y + 10 = 65
y = 55
z = 180 - 36 = 144
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