Question 173839
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{{{x+3y=23}}}, EQN 1---> {{{y=(23-x)/3=(-1/3)x+(23/3)}}}
{{{3x-2y=3}}}, EQN 2---> {{{y=(3x-3)/2=(3/2)x-(3/2)}}}
In EQN 1, we get
{{{x=23-3y}}}, EQN 3, subst. in EQN 2:
{{{3(23-3y)-2y=3}}}
{{{69-9y-2y=3}}}
{{{69-3=9y+2y}}}
{{{66=11y}}}------>{{{cross(66)6/cross(11)=cross(11)y/cross(11)}}}
{{{highlight(y=6)}}}, subst. in EQN 3:
{{{x=23-3(6)=23-18}}}
{{{highlight(x=5)}}}
We'll see the graph:
{{{drawing(300,300,-8,8,-8,12,grid(1),graph(300,300,-8,8,-8,12,(-1/3)x+(23/3),(3/2)x-(3/2)),blue(circle(5,6,.15)))}}} --> see point of intersection (5,6)
Thank you,
Jojo</pre>