Question 176283
Let's solve this one with the addition method.  I will multiply the first equation by -2 to obtain the following system:
{{{-2x-2y=-4}}}
{{{2x+7y=9}}}
Now, adding the two together, we get:
{{{5y=5}}}
So y=1.  To find x, we just plug in y=1 to either equation.
{{{x+1=2}}}
So x=1.  Thus the solution is (1,1).