Question

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

x−5y=−20
(1 point)

Answer 1

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

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

Then x = −20 + 5(3) = −5.

Solution: (x, y) = (−5, 3).