Question 125832
Solve using linear combinations:
1) {{{3x+7y = -1}}}
2) {{{7y = -6x}}}
You had the right idea in rearranging the second equation but the ? should be a 0, as in:
2) {{{-6x-7y = 0}}} Now you add the two equations:
{{{3x+7y = -1}}}
{{{-6x-7y = 0}}}
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{{{-3x = -1}}} Now divide both sides by -3.
{{{x = 1/3}}} Now substitute this value of x into either one of the two original equations to solve for y. Let's use the second equation:
{{{7y = -6x}}} Substitute {{{x = 1/3}}}
{{{7y = -6(1/3)}}} Simplify.
{{{7y = -2}}} Now divide both sides by 7.
{{{y = -2/7}}}