Question 51339
To do this by substitution, the first step is to solve for one of the variables in terms of the other.  The easiest one to solve for is the y in the second equation.  Do this by adding +5x to each side of the equation.

y = 5x + 3


Now, subsitute this into the first equation:
5x - 2y = -5
5x - 2(_____) = -5
5x - 2(5x+3) = -5


5x - 10x - 6 = -5
-5x - 6 = -5
-5x-6+6=-5+6
-5x=1
{{{x=-1/5}}}


Substitute back into the equation in which you solved for y:
y=5x+3
y=5(-1/5)+3
y=-1+3= 2


The solution is ({{{-1/5}}},2) 

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