Question

Solve the system of linear equations by graphing. Round the solution to the nearest tenth.

y = –0.25x + 4.7

y = 4.9x – 1.64

The approximate solution to the system is (
,
).

Answer 1

Set the equations equal:
-0.25x + 4.7 = 4.9x - 1.64
6.34 = 5.15x → x ≈ 6.34/5.15 ≈ 1.231 ≈ 1.2

Find y:
y = 4.9(1.231) - 1.64 ≈ 4.392 ≈ 4.4

So the solution (rounded to the nearest tenth) is (1.2, 4.4).