Question 176262
{{{3x-11y=2}}}
{{{x-5y=2}}}
The substitution method involves using one equation to solve for one of the variables, and then substituting back in to the other equation.  For example, in the second equation we can easily solve for x by adding 5y to both sides, obtaining
{{{x=5y+2}}}
Now, we replace the x in the first equation with 5y+2,
{{{3(5y+2)-11y=2}}} and solve for y
{{{15y+6-11y=2}}}
{{{4y=-4}}}
{{{y=-1}}}
To find x, we plug in y=-1 into either equation.  I will use the second one for simplicity:
{{{x-5(-1)=2}}}
{{{x+5=2}}}
{{{x=-3}}}
So the solution is (-3,-1).