SOLUTION: y = 4x-2 y = 5x

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Question 197186: y = 4x-2
y = 5x
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given, system%28y+=+4x-2%28red%28Line1%29%29%2Cy+=+5x%28red%28Line2%29%29%29

In red%28Line1%29, let Fy=0:
0=4x-2 ---> 4x=2 ---> cross%284%29x%2Fcross%284%29=cross%282%291%2Fcross%284%292
red%28x=1%2F2%29, X-Intercept

Also, Let Fx=0:
y=4%280%29-2
red%28y=-2%29, Y-Intercept

In red%28Line2%29, ---> y=5x, from the origin (0,0) has a Slope=m=5%2F1=DELTA%28y%29%2FDELTA%28x%29=rise%2Frun

We substitute red%28Line2%29 in red%28Line1%29:
highlight%285x%29=4x-2
5x-4x=-2
red%28x=-2%29 ---> Subst. in red%28Line2%29

y=5%2Ahighlight%28-2%29
red%28y=-10%29

*The two lines intersect at point (-2,-10)

--->}}} red%28Line1%29; green%28Line2%29


Thank you,
Jojo