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Solve the system of equation by elimination.
27= -3y + x
2 y=10 - 4x

1 Answer

11 votes

Answer:

x=6 y=-7

Explanation:

rearrange the equation

3y=x-27 eq 1

2y=-4x+10 eq 2

Multiply eq 1 by 2, and eq 2 by 3

6y=2x-54

6y=-12x+30 subtract the two eq's

0=14x-84

84=14x

x=84÷14

x=6

solving for y sub. x either eq 1 or 2

3y=x-27

3y=6-27

3y=-21

y=-21÷3

y=-7

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