Can someone please work out the steps in solving this elimination problem. Thank you.

Question

The problem is x + 2y = -7
x - 5y = 7

Answer 1

from the 2nd: x = 5y+7

plut into the first:
x + 2y = -7
5y+7 + 2y = -7
7y = -14
y = -2

back in x = 5y+7 = 5(-2)+7 = -3

x = -3 , y = -2