Question 182658
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Top: {{{x+2y=7}}}; Bottom: {{{2x-3y=-21}}}
Multiply "Top" by 2 and subtract to "Bottom":
(x+2y=7)(2)--->{{{2x+4y=14}}}
2x+4y=14
-(2x-3y=-21) *remember to change signs
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{{{7y=35 }}}----->{{{cross(7)y/cross(7)=cross(35)5/cross(7)}}}
{{{highlight(y=5)}}} subst. to "Top":
{{{x+2*5=7}}}
{{{x=7-10=-3}}}
{{{highlight(x=-3)}}}
It shows, the "top" and "Bottom" will meet at point (-3,5):
{{{drawing(300,300,-7,7,-7,7,grid(1),graph(300,300,-7,7,-7,7,(-x+7)/2,(2x+21)/3),circle(-3,5,.08))}}}---> RED Line >>>> "Top"; GREEN Line >>> "Bottom"
Thank you,
Jojo</pre>