Question 1132158
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If both linear equations are given in the form Ax+By = C, solving the system by elimination is almost always easier than solving by substitution.<br>
And if either given equation can be simplified, doing that will nearly always make the rest of the work easier.<br>
{{{4x+7y = -9}}}
{{{3x-3y = 18}}}  -->  {{{x-y = 6}}}<br>
Multiply the second equation by 7 and add to the first equation, eliminating y:<br>
{{{4x+7y = -9}}}
{{{7x-7y = 42}}}
{{{11x = 33}}}
{{{x = 3}}}<br>
Substitute x = 3 in either original equation and solve for y:
{{{3-y = 6}}}
{{{-y = 3}}}
{{{y = -3}}}<br>
ANSWER: (3,-3)