Question 122480
{{{3x - 4y = 8}}}
{{{6x - 2y = 10}}}
You can either multiply the 1st one by 2 or the 2nd one by 3 and
then subtract them. Take your choice. I'll do one of them
{{{3x - 4y = 8}}}
{{{6x - 8y = 16}}}
Now subtract the 2nd from 1st
{{{6x - 8y = 16}}}
{{{-6x + 2y = -10}}}
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{{{-6y = 6}}}
{{{y = -1}}} answer
Now substitute this answer into either 1st or 2nd
{{{6x - 2(-1) = 10}}}
{{{6x + 2 = 10}}}
{{{6x = 8}}}
{{{x = 4/3}}} answer
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Now check the answers
{{{3x - 4y = 8}}}
{{{3(4/3) - 4(-1) = 8}}}
{{{4 + 4 = 8}}}
OK
{{{6x - 2y = 10}}}
{{{6(4/3) - 2(-1) = 10}}}
{{{8 + 2 = 10}}}
OK