Question 189432
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Given:{{{system(3x+2y=23(red(EQN1)),x+y=8(red(EQN2)))}}}
Multiply  {{{red(EQN2)}}} by 3, 
{{{x+y=8}}}x{{{3}}} ==> {{{3x+3y =24}}}


then subtract from {{{red(EQN1)}}}, we get


{{{3x+2y=23}}}
{{{-3x-3y=-24}}}
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{{{-y=-1}}} ---> {{{red(y=1)}}}, subst. in {{{red(EQN2)}}}


{{{x+highlight(1)=8}}}
{{{x=8-1=red(7)}}}



Then, the 2 lines intersect at point <font color=blue>(7,1)</font>


Let's see,
{{{drawing(400,400,-5,10,-5,15,graph(400,400,-5,10,-5,15,(23-3x)/2,8-x),blue(circle(7,1,.10)))}}} ---> <font color=red>RED=EQN1</font>; <font color=green>GREEN=EQN2</font>


Thank you,
Jojo</font>