Question

Which is the best approximation for the solution of the system of equations?

y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1
y = 3x – 2

A coordinate grid with 2 lines. The first line passes through (0, 1) and (5, negative 2). The second line passes through (0, negative 2) and (1, 1). the lines appear the intersect at a point that is almost to 1 and almost to 1.
(0.45, 0.88)
(0.88, 0.65)
(0.88, 1.1)
(1.3, 0.88)

Answer 1

Solve 3x − 2 = −(2/5)x + 1.

Multiply by 5: 15x − 10 = −2x + 5 → 17x = 15 → x = 15/17 ≈ 0.88235.
y = 3x − 2 = 3(15/17) − 2 = 11/17 ≈ 0.64706.

So the best approximation is (0.88, 0.65).