Question

What is the solution to the system of equations?

y=1/8x−1
−5x+4y=−13

(
,
)

Answer 1

Solve by substitution. From y = (1/8)x − 1, substitute into −5x + 4y = −13:

−5x + 4((1/8)x − 1) = −13
−5x + (1/2)x − 4 = −13
(−9/2)x = −9 → x = 2

Then y = (1/8)(2) − 1 = 1/4 − 1 = −3/4.

Solution: (2, −3/4)