Question

What is the x-value of the solution to the system of equations?

5x + 4y = 8
2x - 3y = 17
-3
-2
4
5

Answer 1

4

Explanation:

(5x + 4y = 8) 2 = 10x+8y=16

(2x - 3y = 17)5 = 10x-15y=85

we can pick one of the equation and multiply it by a -1 which equals:

10x+8y=16

-10x+15y=-85

and -10 and 10 cancels out.

add 8 and 15 = 23y

add -85 and 16 = -69

divide -69 by 23 whcih equals -3

plug in the y value in any of the equation, i chose 2x - 3y = 17

you get 2x+9=17

2x=8

x=4