SOLUTION: Please help. Solve by substitution: 5x-2y=-5 y-5x=3

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Question 93738: Please help. Solve by substitution:
5x-2y=-5
y-5x=3

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve for y in the 2nd equation:
Add 5x to both sides. y=5x+3
Now we substitute 5x+3 for y in the first equation.
5x-2(5x+3)=3
Multiply -2 times 5x+3.
5x-10x-6=-5
Add 6 to both sides. 5x-10x=-5+6
Combine terms. -5x=1
divide both sides by -5. x=-1%2F5
Substitute -1/5 for x in the second equation. y-5(-1/5)=3
multiply -5*-1/5=1
y+1=3
subtract 1 from both sides. y=2
check by substituting for x and y in the firs equation.
5%28-1%2F5%29-2%282%29=-1-4=-5