Question

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

5x + 4y = 8

2x − 3y = 17

Answer 1

x = 4

Explanation:

Given the 2 equations

5x + 4y = 8 → (1)

2x - 3y = 17 → (2)

Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term

15x + 12y = 24 → (3)

8x - 12y = 68 → (4)

Add (3) and (4) term by term to eliminate y, that is

23x = 92 ( divide both sides by 23 )

x = 4

Answer 2

x=4

Explanation:

multiply first eq. by 3 and second by 4 to get rid of y

15x+12y=24

8x-12y=68

add the equations

23x = 92

divide both sides by 23

x=92/23=4