Question 972433
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-5x+3y=-5 Add 5x to each side.(Equation 1)  
3y=5x-5 Divide each side by 3.
y=(5x-5)/3 Use this to substitute for y in Equation 2
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-7x-5y=-7 Substitute for y (Equation 2)
-7x-5((5x-5)/3)=-7
-7x+(-25x+25)/3=-7 Multiply each side by 3.
-21x-25x+25=-21 Subtract 25 from each side.
-46x=-46 Divide each side by -46.
x=1
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-5x+3y=-5 Put in value for x.
-5(1)+3y=-5
-5+3y=-5 Add 5 to each side.
3y=0 Divide each side by 3
y=0
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CHECK: 
-7x-5y=-7 Put in values.
-7(1)-5(0)=-7
-7-0=-7
-7=-7