Question 620526
{{{x+y=3}}}
{{{x-y=1}}}
Use the first equation and put it in a format that shows one variable in terms of the other. Lets take equation one and change it to show x in terms of y
{{{x+y=3}}}
{{{x = 3-y}}}

Now that the second equation and substitute in the value you just found for x
{{{x-y=1}}}
{{{(3-y) - y = 1}}}
Now simplify and solve for the remaining variable
{{{-2y = 1-3}}}
{{{-2y = -2}}}
{{{y = 1}}}
Take this value for y and use it in the first equation and solve for x
{{{x + 1 = 3}}}
{{{x = 2}}}
So the solution is (2,1)