Question 369608
First, multiply the second equation by -1:
{{{-x-2y=-10}}}
Now, add the equations together:
{{{x+3y-x-2y=14-10}}}
Combine like terms:
{{{x-x+3y-2y=4}}}
{{{y=4}}}
 
Substitute y for 4 in one of the equations. I chose the first one:
{{{x+3(4)=14}}}
Multiply 3 by 4:
{{{x+12=14}}}
Subtract 12 from both sides:
{{{x=2}}}
 
So, {{{x=2}}} and {{{y=4}}}.
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Check:
First equation:
{{{2+3(4)=14}}}
{{{2+12=14}}}
{{{14=14}}}
Second equation:
{{{2+2(4)=10}}}
{{{2+8=10}}}
{{{10=10}}}