Question 37061
Solve by substitution 

5x - 2y = -5   
 y - 5x = 3

(1) We isolate one variable, in this case the easiest is the y in the second equation, then we write:

y-5x=3,  and therefore y=3+5x

(2) Now we only have to substitute this the variable that we choose in this case y in the first equation.

5x-2y=-5
Therefore,  5x-2(3+5x)=-5,  5x-6+10x=-5,  finally 15x=1, and the solution for x=1/15

(3) To obtain y we substitute the value of x in the equation that we have obtain before (y=3+5x)

y=3+5(1/15), y=3+1/3, y=10/3