Question

Solve the system of equations.
−4x+6y=38
−
4
𝑥
+
6
𝑦
=
38

x−5y=−20

Answer 1

From x − 5y = −20, x = 5y − 20. Substitute into −4x + 6y = 38:

−4(5y − 20) + 6y = 38
−20y + 80 + 6y = 38
−14y = −42 ⇒ y = 3.

Then x = 5·3 − 20 = −5.

Solution: (x, y) = (−5, 3).