Question 583113
{{{2x-3y=1}}}
{{{3x+4y=10}}}
. multiply top by 3 and bottom by 2
{{{6x-9y=6}}}
{{{6x+8y=20}}}
. subtract equations
{{{-9y-8y=6-20}}}
{{{-17y=-14}}}
{{{y=14/17}}}
.
{{{2x-3y=1}}}
{{{2x-3(14/17)=1}}}
{{{2x-(42/17)=1}}}
{{{2x=(17/17)+42/17}}}
{{{x=(59/17)(1/2)}}}
{{{x=59/34}}}