Question 359074
1.{{{y=5-4x}}}
2.{{{ 3x-2y=12}}}
Substitute eq. 1 into eq. 2,
{{{3x-2(5-4x)=12}}}
{{{3x-10+8x=12}}}
{{{11x-10=12}}}
{{{11x=22}}}
{{{highlight(x=2)}}}
Now use eq. 1,
{{{y=5-4(2)}}}
{{{y=5-8}}}
{{{highlight(y=-3)}}}
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Graphical verification.
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{{{drawing(300,300,-5,5,-5,5,grid(1),circle(2,-3,0.2),graph(300,300,-5,5,-5,5,5-4x,(12-3x)/(-2)))}}}