SOLUTION: i dont know how to do substitution method x=2y-3 4x+3y=32

Question 46555: i dont know how to do substitution method x=2y-3 4x+3y=32
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
x=2y-3 [Have one of the equations equal to either "x" or "y"]
4x+3y=32 [Substitute (x=2y-3) for "x" in the second equation]
4(2y-3)+3y=32 [Solve for y by simplifying]
8y-12+3y=32
11y-12=32
11y-12+12=32+12
11y/11=44/11
y=4
.
.
x=2y-3 [Substitute (y=4) back into either equation and solve for "x"]
x=2(4)-3
x=5
.
.
x=2y-3 and 4x+3y=32 [Plug (x=5) and (y=4) back into both equations]
(5)=2(4)-3 [Simplify]
5=5 [Checks out]
.
4x+3y=32
4(5)+ 3(4)=32 [Simplify]
32=32 [Checks out]

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