Question 178793
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Line eqns:{{{system(3x+6y=6(EQN1),2x-3y=4(EQN2))}}}
In EQN 1 we get,
{{{6y=6-3x}}}----->{{{cross(6)y/cross(6)=(6-3x)/6}}}
{{{y=6/6-3x/6=1-(1/2)x}}}, subst. in EQN 2:
{{{2x-3(1-(1/2)x)=4}}}
{{{2x-3+(3/2)x=4}}}
{{{(4x+3x)/2=4+3}}}--->{{{7x/2=7}}}--->{{{7x=14}}}--->{{{cross(7)x/cross(7)=cross(14)2/cross(7)1}}}
{{{highlight(x=2)}}}
subst. in EQN 1
{{{3(2)+6y=6}}}
{{{6y=6-6=0}}}
{{{highlight(y=0)}}}
As we see the graph,
{{{drawing(400,400,-4,4,-4,4,grid(1),graph(400,400,-4,4,-4,4,1-(1/2)x,(2/3)x-(4/3)),blue(circle(2,0,.12)))}}}------> RED Line>>>EQN 1, GREEN Line>>>>EQN 2
Thank you,
Jojo</pre>