Question 348530
Substitution:
1.{{{2x+3y=0}}}
2.{{{4x-9y=-12}}}
From eq. 1,
{{{2x=-3y}}}
{{{-9y=6x}}}
Substitute into eq. 2,
{{{4x-9y=-12}}}
{{{10x=-12}}}
{{{highlight(x=-6/5)}}}
Then from eq. 1,
{{{-9y=6(-6/5)}}}
{{{-9y=-36/5}}}
{{{highlight(y=4/5)}}}
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Elimination:
1.{{{2x+3y=0}}}
2.{{{4x-9y=-12}}}
Multiply eq. 1 by 3 and add the equations together,
{{{6x+9y+4x-9y=-12}}}
{{{10x=-12}}}
{{{highlight(x=-6/5)}}}
Then from eq. 1,
{{{-9y=6(-6/5)}}}
{{{-9y=-36/5}}}
{{{highlight(y=4/5)}}}