Question 81495: Solve each of the following systems by substitution.
5x - 2y = -5
y - 5x = 3
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! QUESTION:
Solve each of the following systems by substitution.
5x - 2y = -5
y - 5x = 3
ANSWER:
5x - 2y = -5 ------------(1)
y - 5x = 3 ---------------(2)
Add 5x to both sides of the equation (2)
==> y - 5x + 5x = 3 + 5x
==> y = 3 + 5x --------------(3)
Substitute this value of y, that is y = 3 + 5x in equation(1)
==> 5x - 2(3 + 5x) = -5
==> 5x - 2*3 - 2*5x = -5
==> 5x - 6 - 10x = -5
==> 5x - 10x - 6 = -5
==> -5x - 6 = -5
Add 6 to both sides of the equation....
==> -5x - 6 + 6 = -5 + 6
==> -5x = 1
Divide both sides by -5
==> -5x/-5 = 1/-5
==> x = -1/5
Now put the value of x in (3)
==> y = 3 + 5(-1/5)
==> y = 3 + (-1)
==> y = 2
So we have ,
x = -1/5 and
y = 2
To check your answer, substitute these values in the first equation then you will find it satisfies the equation.
Hope you found the explanation useful...
Regards.
Praseena.
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