SOLUTION: Solve the following systems by substitution. 5x - 2y = -5 y

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Question 63065This question is from textbook
: Solve the following systems by substitution.
5x - 2y = -5
y - 5x = 3
This question is from textbook

Answer by praseenakos@yahoo.com(507) (Show Source):
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Solve the following systems by substitution.
5x - 2y = -5
y - 5x = 3

Answer:
5x - 2y = -5 -----------------(1)

y - 5x = 3 -----------------(2)

(2)==> y - 5x = 3

add 5x on both sides of the expression.

==> y - 5x + 5x = 3 + 5x

==> y = 3 + 5x

Now substitute this value of y in the first equation

==> 5x - 2(3 + 5x ) = -5

==> 5x - 6 - 10x = -5

==>5x - 10x - 6 = -5

==> -5x - 6 = -5

Add 6 on both sides of the expression,

==>-5x -6 + 6 = -5 + 6

==> -5x = 1

Divide both sides by -5

==> -5x/-5 = 1/-5

==> x = -1/5

Now substitute the values of x in y = 3 + 5x

==> y = 3 + 5(-1/5)

==> y = 3 + -1

==> y = 2

So the solution is x = -1/5 and y = 2

Hope you understood the problem.
Regards.
praseenakos@yahoo.co.in

SOLUTION: Solve the following systems by substitution. 5x - 2y = -5 y - 5x = 3