Question 176283
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Line Equations:
{{{x+y=2}}}, EQN 1
{{{2x+7y=9}}}, EQN 2
In EQN 1, we get:
{{{y=2-x}}}, EQN 3 ------> subst. in EQN 2:
{{{2x+7(2-x)=9}}}
{{{2x+14-7x=9}}}, combine similar terms
{{{14-9=7x-2x}}}
{{{5=5x}}}------>{{{cross(5)1/cross(5)=cross(5)x/cross(5)}}}
{{{highlight(x=1)}}}, subst. in EQN 3:
{{{y=2-1}}}
{{{highlight(y=1)}}}
We'll see the graph:
{{{drawing(300,300,-5,5,-5,5,grid(1),graph(300,300,-5,5,-5,5,2-x,(9/7)-(2/7)x),blue(circle(1,1,.12)))}}}----> Point of Intersection (1,1), RED>>EQN1; GREEN>>EQN2
Thank you,
Jojo</pre>