SOLUTION: Solve the sytem of equations by elimination. 3x + 5y = 29 3x + 2y = 44

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Question 417783: Solve the sytem of equations by elimination.
3x + 5y = 29
3x + 2y = 44

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3x+%2B+5y+=+29.......1
-
3x+%2B+2y+=+44........2...subtract 2 from 1
--------------------------
3x-3x%2B5y-2y=29-44
cross%283x-3x%29%2B5y-2y=29-44
5y-2y=29-44
3y=-15
y=-15%2F3
y=-5...now find x


3x+%2B+5%28-5%29+=+29.......1

3x+-25+=+29

3x+=+29%2B25

3x+=+54

x+=+54%2F3

x+=+18
check:


3%2A18+%2B+2%28-5%29+=+44........2

54+-10+=+44
44+=+44