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

Answer:
x = -1, y = 1
Step-by-step explanation:
Multiply the top equation by 2:
[tex]2x - 2y = - 4[/tex]
Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:
[tex]9x = - 9[/tex]
Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.
[tex]x = - 1[/tex]
[tex]7( - 1) + 2y = - 5[/tex]
[tex] - 7 + 2y = - 5[/tex]
[tex]2y = 2[/tex]
[tex]y = 1[/tex]