Question 189587
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Given:{{{system(y-2x=0red((EQN1)),3x+7y=17(red(EQN2)))}}}
In {{{red(EQN1)}}} we get,
{{{y-2x=0}}} ---> {{{y=2x}}}, subst. this in {{{red(EQN2)}}}


{{{3x+7(highlight(2x))=17}}}
{{{3x+14x=17}}} ----> {{{17x=17}}} ----> {{{cross(17)x/cross(17)=cross(17)1/cross(17)1}}}
{{{red(x=1)}}}, subst. in {{{red(EQN1)}}}


{{{y-2(highlight(1))=0}}}----> {{{y-2=0}}} ----> {{{red(y=2)}}}


These two lines intersect at point (1,2).


{{{drawing(400,400,-7,7,-7,7,graph(400,400,-7,7,-7,7,2x,(17-3x)/7),blue(circle(1,2,.08)))}}} ----> {{{red(RED=EQN1)}}}; {{{green(GREEN=EQN2)}}}


Thank you,
Jojo</font>