Question

Solve using elimination.

–2x − 6y = –20
–10x − 10y = 20

Answer 1

Multiply the first equation by 5 to align the x-terms with the second:
5(−2x − 6y) = 5(−20) → −10x − 30y = −100

Now subtract the second equation (−10x − 10y = 20) from this:
(−10x − 30y) − (−10x − 10y) = −100 − 20
−20y = −120 → y = 6

Substitute y = 6 into −2x − 6y = −20:
−2x − 36 = −20 → −2x = 16 → x = −8

Solution: x = −8, y = 6.