SOLUTION: solve the system of equations, if a solution exists -6x-7y=47 -3x+5y-19

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Question 378020: solve the system of equations, if a solution exists
-6x-7y=47
-3x+5y-19

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.-6x-7y=47
2.-3x%2B5y-19
Multiply eq. 2 by (-1) and add the quations together.
-6x-7y%2B6x-10y=47%2B38
-17y=85
highlight%28y=-5%29
Then use either equation to solve for x.
-3x-25=-19
-3x=6
highlight%28x=-2%29