Question 1132157
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If both linear equations are given in the form Ax+By=C, then solving the system by elimination is almost always easier than solving by substitution.<br>
{{{4x-3y = -13}}}
{{{5x+2y = 1}}}<br>
Multiply the first equation by 2 and the second by 3 and add, eliminating y:<br>
{{{8x-6y = -26}}}
{{{15x+6y = 3}}}
{{{23x = -23}}}
{{{x = -1}}}<br>
Substitute x = -1 in either original equation to solve for x:<br>

{{{4(-1)-3y = -13}}}
{{{-4-3y = -13}}}
{{{-3y = -9}}}
{{{y = 3}}}<br>
ANSWER: (-1,3)