Question

Solve using elimination.

–x − 5y = –8
6x + 5y = –2

Answer 1

Add the two equations to eliminate y:

(−x − 5y) + (6x + 5y) = −8 + (−2)
5x = −10
x = −2

Substitute x = −2 into −x − 5y = −8:

−(−2) − 5y = −8
2 − 5y = −8
−5y = −10
y = 2

Solution: x = −2, y = 2.