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)

Question

Emilie Burgess

Mathematics

15 August, 14:02

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)

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Answers (1)

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Munoz · Answer 1

A) (20, 0)

Step-by-step 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).