Question 182657
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Top: {{{3x-11y=2}}}; Bottom: {{{x-5y=2}}}
Multiply "Bottom" by 3, and subtract from "Top":
(x-5y=2)(3)={{{3x-15y=6}}}
3x-11y=2
-(3x-15y=6)  * remember to change signs
-----------
{{{4y=-4}}}------>{{{cross(4)y/cross(4)=cross(-4)1/cross(4)}}}
{{{highlight(y=-1)}}}, subst to "Bottom"
{{{x-5(-1)=2}}}
{{{x=2-5}}}
{{{highlight(x=-3)}}}
It shows, "top" and "Bottom" will meet at point (-3,-1):
{{{drawing(300,300,-5,5,-5,5,grid(1),graph(300,300,-5,5,-5,5,(3x-2)/11,(x-2)/5),circle(-3,-1,.15))}}}------>RED>>>"Top"; GREEN>>>>>"Bottom"
Thank you,
Jojo</pre>