Question 149360
The easiest way to check if your answer is correct is to plug it back into the original equations.
1.{{{-5x+2y=-5}}}
{{{-5(1)+2(0)=-5}}}
{{{-5=-5}}}
True, so far so good.
2.{{{-5x+y=0}}}
{{{-5(1)+0=0}}}
{{{-5=0}}}
False. 
Your answers led to a false statement.
Therefore, it's not the correct answer.
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You can solve this system of linear equations in several ways. 
The quickest way is to subtract equation 2 from equation 1. 
This gets rid of the x term and leaves only y terms.
1.{{{-5x+2y=-5}}}
2.{{{-5x+y=0}}}
{{{-5x+2y-(-5x+y)=-5-0}}}
{{{-5x+5x+2y-y=-5}}}
{{{highlight(y=-5)}}}
Now substitute this value for y in either 1 or 2 to solve for x.
2.{{{-5x+y=0}}}
{{{-5x-5=0}}}
{{{-5x=5}}}
{{{highlight(x=-1)}}}
Again, check your answer to verify it's correct using the original equations.
1.{{{-5x+2y=-5}}}
{{{-5(-1)+2(-5)=-5}}}
{{{5-10=-5}}}
{{{-5=-5}}}
True.
2.{{{-5x+y=0}}}
{{{-5(-1)+-5=0}}}
{{{5-5=0}}}
{{{0=0}}}
True.
Your answer led to true statements.
It's a correct answer.