Question 176534
{{{x-2y=5}}}
{{{-3x+2y=7}}}
This system lends itself to the addition method, which involves adding the two equations by columns.  So we get
{{{-2x=12}}}
{{{x=-6}}}
To find y, you plug in x=-6 into either of the original equations.  I will use the first one:
{{{-6-2y=5}}}
{{{-2y=11}}}
{{{y=-11/2}}}
So the solution is (-6, -11/2).