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Graph the system of equations on graph paper.

[Picture will have the equation here]

Which statements are true about the solution to the system of equations?

Select each correct answer.


A) The ordered pair that is the solution to the system lies in Quadrant I .

B) The y-coordinate of the solution is 3.

C) The ordered pair that is the solution to the system lies in Quadrant IV .

D) The x-coordinate of the solution is 2.

E) The y-coordinate of the solution is −2 .

F) The x-coordinate of the solution is 3.

Graph the system of equations on graph paper Picture will have the equation here Which statements are true about the solution to the system of equations Select class=

Respuesta :

talkingturkey
6x + 4y = 24
2x - 4y = -8

We will use the addition method in solving this system of equation.

    6x + 4y = 24
+ (2x - 4y = -8)
    8x + 0 = 16

8x = 16
x = 16/8
x = 2

Let us substitute x by its value to get the value of y.

6x + 4y = 24 
→ 6(2) + 4y = 24
12 + 4y = 24
4y = 24 - 12
4y = 12
y = 12/4
y = 3

2x - 4y = - 8 
→ 2(2) - 4y = - 8
4 - 4y = - 8
-4y = - 8 - 4
-4y = -12
y = -12/-4
y = 3

So x = 2 and y = 3. → (2,3)

The true statement among the choices are:

A) The ordered pair that is the solution to the system lies in Quadrant I . 
B) The y-coordinate of the solution is 3.
D) The x-coordinate of the solution is 2.

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