Question 198944
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Given Line Eqns.,{{{system(-3x+y=4(red(EQN1)),-x+y=-2(red(EQN2)))}}}


In {{{red(EQN1)}}}, we let Fy=0:
{{{-3x+0=4}}} ---> {{{cross(-3)x/cross(-3)=4/-3}}}
{{{red(x=-4/3)}}}, X-Intercept


Fx=0:
{{{-3(0)+y=4}}}
{{{red(y=4)}}}, Y-Intercept
We see it in graph,
{{{drawing(300,300,-4,4,-4,8,grid(1),graph(300,300,-4,4,-4,8,3x+4),blue(circle(-4/3,0,.10)),blue(circle(0,4,.10)))}}}---> Line {{{red(-3x+y=4)}}}


In {{{red(EQN2)}}}, we let Fy=0:
{{{-x + 0 = -2}}}
{{{red(x=2)}}}, X-Intercept


Let Fx=0:
{{{0+y=-2}}}
{{{red(y=-2)}}}, Y-Intercept
We see it in graph,
{{{drawing(300,300,-5,4,-8,8,grid(1),graph(300,300,-5,4,-8,8,3x+4,x-2),blue(circle(-4/3,0,.10)),blue(circle(0,4,.10)),blue(circle(2,0,.10)),blue(circle(0,-2,.10)))}}} ---> {{{red(-3x=y=4)}}}; {{{green(-x+y=-2)}}}



As you can see , Point of Intersection, <font color=blue>(-3,-5)</font> , solution for both eqns.


Thank you,
Jojo</font>