Question

Review the graphs of a system of these two linear equations in two variables: y=4x−10
𝑦
=
4
𝑥
−
10
and y=−2x+8
𝑦
=
−
2
𝑥
+
8
Find the solution of the system.

Answer 1

Set the right sides equal: 4x − 10 = −2x + 8.
Solve: 6x = 18 → x = 3.
Then y = 4(3) − 10 = 2.

Solution: (3, 2).