Question 59066: Solve each of the following systems by substitution.
5x - 2y=-5
y - 5x = 3
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! Solve each of the following systems by substitution.
L1) 5x - 2y=-5
L2) y - 5x = 3
Solve L2 for y (because y doesn't have a coefficient to worry about dividing) and substitute that in for y in L1 and solve L1 for x:
L2) y-5x+5x=5x+3 ----->>> y=5x+3
L1) 5x-2(5x+3)=-5
5x-10x-6=-5
-5x-6=-5
-5x-6+6=-5+6
-5x=1
-5x/-5=1/-5
x=-1/5
Plug this value into L2 and solve for y:
L2) y-5(-1/5)=3
y+1=3
y+1-1=3-1
y=2
The solution is (x,y)=(-1/5,2)
Happy Calculating!!!
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