Question

2 x – 3 y = 7

–4 x + y = –5
What is the x -value of the solution to this system of equations?

Answer 1

x =
`(4)/(5)`

Explanation:

2x - 3y = 7 → (1)

- 4x + y = - 5 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

- 12x + 3y = - 15 → (3)

add (1) and (3) term by term to eliminate y

- 10x + 0 = - 8

- 10x = - 8 ( divide both sides by - 10 )

x =
`(-8)/(-10)` =
`(4)/(5)` (= 0.8 )