SOLUTION: Point of intersection of the lines whose equations are y=-1/2x+3 and y=2x+8

Question 281605: Point of intersection of the lines whose equations are y=-1/2x+3 and y=2x+8
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I would get these both into the standard form
and solve simultaneously

(1)
and

(2)
Multiply both sides of (2) by
and add (1) and (2)
(1)
(2)

and, substituting,
(1)

The lines intersect at (-2,4)
here's the plot:

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I would set them equal to each other
-1/2x+3=2x+8
add 1/2x to both sides
3=2.5x+8
subtract 8 from both sides
-5=2.5x
divide by 2.5
-2=x
y=-1/2x+3 and y=2x+8
y=2x+8
y=2*(-2)+8
y=-4+8=4

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