Question 944794

{{{2x-3y=6}}}......eq.1
{{{ x+2y=4}}}......eq.2....both sides multiply by {{{-2}}}
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{{{2x-3y=6}}}......eq.1
{{{-2x-4y=-8}}}......eq.2
---------------------------add both eq.1 and eq.2 to eliminate {{{x}}}

{{{2x-3y-2x-4y=6-8}}}

{{{cross(2x)-7y-cross(2x)=-2}}}

{{{-7y=-2}}}...both sides multiply by {{{-1}}}

{{{7y=2}}}

{{{highlight(y=2/7)}}}


go to {{{2x-3y=6}}}......eq.1 substitute {{{(2/7)}}} for {{{y}}} and solve for {{{x}}}

{{{2x-3(2/7)=6}}}

{{{2x-6/7=6}}}..both sides multiply by {{{7}}}

{{{14x-6=42}}}

{{{14x=42+6}}}

{{{14x=48}}}

{{{x=48/14}}}

{{{highlight(x=24/7)}}}