Question

Solve the system. 0.2x + 0.5y = 4 -0.1x + 0.3y = -2 A) (20, 0) B) (-2, 5) C) (-5, 10) D) (50, 10)

Answer 1

A) (20, 0)

Explanation:

Double the second equation and add that to the first:

(0.2x +0.5y) +2(-0.1x +0.3y) = (4) +2(-2)

1.1y = 0

y = 0

Substitute this value into either equation to find x.

0.2x +0.5·0 = 4

x = 4/0.2 = 20

The solution is (x, y) = (20, 0).