SOLUTION: I am having trouble with solving by substitution. Please help. 5x-2y=-5 y-5x=3

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Question 94042: I am having trouble with solving by substitution. Please help.
5x-2y=-5
y-5x=3
Found 2 solutions by praseenakos@yahoo.com, MathTherapy:
Answer by praseenakos@yahoo.com(507) (Show Source):
You can put this solution on YOUR website!
Question:

I am having trouble with solving by substitution. Please help.
5x-2y=-5
y-5x=3

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

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

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

Substitute this value of y in the first equation.

(1) ==> 5x - 5( 3 + 5x ) = -5

==> 5x - 5*3 -5*5x = -5

==> 5x - 15 - 25x = -5

==> 5x - 25x - 15 = -5

==> -20x - 15 = -5

Add 15 on both sides....

==> -5x - 15 + 15 = -5 + 15

==> -10x = 10

Divide both sides by -10

==>

==> x = 1

==> y = 3 + 5x = 3 + 5*1 = 3 + 5 = 8

So the solution is, and

Hope you found the explanation useful.

Regards.

Praseena.

Answer by MathTherapy(10849) (Show Source):
You can put this solution on YOUR website!

I am having trouble with solving by substitution. Please help. 5x-2y=-5 y-5x=3 ******* How is it possible for the following solutions by the other person, to be correct? "So the solution is, x = 1 and y = 8" If these "respondents" are not committed to helping these people by correctly solving these problems, then just leave them alone, and move ALONG!! Obviously, they're not helping, but compounding these people's problems with math, making it worse for those who desperately need help, and are expecting to get GENUINE, NOT SUBSTANDARD help. And, how can the "respondent" ask the question, "Hope you found the explanation useful," when it's filled with MANY ERRORS, and the solutions prove the equations FALSE, therefore making the solutions, obviously BOGUS? 5x - 2y = - 5 ---- eq (i) y - 5x = 3_____y = 3 + 5x ----- eq (ii) 5x - 2(3 + 5x) = - 5 ----- Substituiting 3 + 5x for y in eq (i) 5x - 6 - 10x = - 5 5x - 10x = - 5 + 6 - 5x = 1 ---- Substituting for x in eq (ii) y = 3 - 1 = 2 Solution set: You can do the CHECK!!