Question

X - y = -2 7x + 2y = -5

Élimination method

Answer 1

x = -1, y = 1

Explanation:

Multiply the top equation by 2:

`2x - 2y = - 4`

Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:

`9x = - 9`

Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.

`x = - 1`

`7( - 1) + 2y = - 5`

`- 7 + 2y = - 5`

`2y = 2`

`y = 1`