SOLUTION: Solve each system by the substitution method. x+3y=2 and -x+y=1

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Question 360828: Solve each system by the substitution method. x+3y=2 and -x+y=1
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, 

x+3y=2, -x+y=1

Solving by the substitution method

-x+y=1

y - 1 = x

(y-1)+3y=2

solving for y

4y - 1 = 2

4y = 3

y = 3/4

x = y - 1

x = (-1/4)

checking our answer

-(-1/4) + 3/4 = 1

1/4 + 3/4 = 1