SOLUTION: solve the system of equations: 4x-3y=8 2x+5y=-9 a.(-2,1) b.(2,0) c.(0,-83) d.(1/2,-2)

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Question 67570: solve the system of equations:
4x-3y=8
2x+5y=-9
a.(-2,1)
b.(2,0)
c.(0,-83)
d.(1/2,-2)

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
4X-3Y=8
2X+5Y=-9 NOW MULTIPLY THE SECOND FORMULA BY -2 AND ADD.
-4X-10Y=18
4X-3Y=8
----------------------------
-13Y=26
Y=26/-13
Y=-2 SOLUTION NOW SUBSTITUTE (-2) FOR Y AND SOLVE FOR X
4X-3(-2)=8
4X+6=8
4X=8-6
4X=2
X=2/4
X=1/5 OR .5 SOLUTION
THUS THE SOLUTIONS ARE D)1/2,-2
PROOF
2(.5)+5(-2)=-9
1-10=-9
-9=-9

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