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

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Question 75600: Solve each of the following systems by substitution.
5x- 2y = -5
y-5x =3

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solve the 2nd equation for y


Plug this into the y of the first equation

Distribute the -2
Combine like terms
Add 6 to both sides
Divide both sides by -5

Now plug this in for x to solve for y in the 1st equation:
Plug in x=-1/5

Add 1 to both sides
Divide both sides by -2
So the solution is (-1/5,2)
Check:


Plug in (-1/5,2)




works
works


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