SOLUTION: -5x+2y=-11 -5x-2y=1

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Question 535506: -5x+2y=-11
-5x-2y=1

Answer by Maths68(1474) About Me  (Show Source):
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-5x%2B2y=-11.............(1)
-5x-2y=1}..............(2)
Add (1) and (2)
-5x%2Bcross%282y%29=-11
-5x-cross%282y%29=1
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-10x=-10
Divide by -10 both sides
-10x%2F-10=-10%2F-10
cross%28-10%29x%2Fcross%28-10%29=cross%28-10%29%2Fcross%28-10%29
x=1
Put the value of x in (1)
-5x%2B2y=-11.............(1)
-5%281%29%2B2y=-11
-5%2B2y=-11
2y=-11%2B5
2y=-6
Divide by 2 both sides
2y%2F2=-6%2F2
cross%282%29y%2Fcross%282%29=-cross%286%29%2Fcross%282%29
y=-3
(x,y)=(1,-3)


Check
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Put the values of x and y in (2)
-5x-2y=1..............(2)
-5%281%29-2%28-3%29=1
-5%2B6=1
1=1