Question 130889
1.{{{3x-y=7}}}
2.{{{10x-5y=25}}}
Multiply eq. 1 by (-5) and add the equations together to eliminate y and solve for x.
{{{-15x+5y+10x-5y=-35+25}}}
{{{-5x=-10}}}
{{{x=2}}}
Then use either equation to solve for y.
{{{3(2)-y=7}}}
{{{6-y=7}}}
{{{y=-1}}}
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1.{{{3x-y=7}}}
2.{{{10x-5y=25}}}
From eq. 1,
{{{y=3x-7}}}
Substitute into eq. 2,
{{{10x-5(3x-7)=25}}}
{{{10x-15x+35=25}}}
{{{-5x=-10}}}
{{{x=2}}}
Then,
{{{y=3(2)-7}}}
{{{y=-1}}}
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{{{drawing(300,300,-5,5,-5,5,grid(1),circle(2,-1,0.2),graph(300,300,-5,5,-5,5,3x-7,(10x-25)/5))}}}