Question 375882
A different site?
The quickest and easiest way is to just plug the results into the original equations.
{{{7p+5q=2}}}
{{{7+5=2}}}
{{{12=2}}}
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.
{{{8p-9q=17}}}
{{{8-9=17}}}
{{{-1=17}}}
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The results are not good.
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1.{{{7p+5q=2}}}
2.{{{8p-9q=17}}
Multiply eq. 1 by 9 and eq. 2 by 5 and add them to eliminate q.
{{{63p+45q+40p-45q=18+85}}}
{{{103p=103}}}
{{{highlight(p=1)}}}
Now use either equation to solve for q.
{{{7p+5q=2}}}
{{{7+5q=2}}}
{{{5q=-5}}}
{{{highlight(q=-1)}}}