Question 311010
No, your solution is off somewhere. 
Multiply eq.1 by 2 and eq.2 by -5 and add them,
{{{10x+10y-35x-10y=-26-95}}}
{{{-25x=-121}}}
{{{highlight(x=121/25)}}}
Then use either equation to solve for y,
{{{5x+5y=-13}}}
{{{121/5+5y=-13}}}
{{{5y=-65/5-121/5}}}
{{{5y=-186/5}}}
{{{highlight(y=-186/25)}}}