Question

Solve the system of linear equations by graphing.

2x + 3y = 16.9

5x = y + 7.4



What is the solution to the system of linear equations? Round to the nearest tenth as needed.

(
,
)

Answer 1

First solve the second equation for y: y = 5x − 7.4.
Substitute into the first: 2x + 3(5x − 7.4) = 16.9 → 2x + 15x − 22.2 = 16.9 → 17x = 39.1 → x = 2.3.
Then y = 5(2.3) − 7.4 = 11.5 − 7.4 = 4.1.

Solution: (2.3, 4.1)