SOLUTION: Solve this system of equations with the substitution method Y=3x - 2 Y=-1/2x + 5

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Question 5043: Solve this system of equations with the substitution method
Y=3x - 2
Y=-1/2x + 5

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
Y=3x - 2
Y=-1/2x + 5

Substitution method means to substitute x or y from one equation into the other equation. In this case, since both equations are in "Y= " format, set them equal to each other:
3x - 2 = -1/2x + 5

Some people don't like fractions, so to clear the fractions, multiply both sides by 2:



Add +x from each side, and add +4 to each side to get all x terms to the left side and the number terms to the right side:






If , substitute into the first equation:





Check in the second equation:
Y=-1/2x + 5



R^2 at SCC

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