SOLUTION: I turned two problems into slop intercept form but I have to slove the sysytem. I'm stuck on what to do next: y= -3/2x+12 and y=3/2x+2

Algebra ->  Linear-equations -> SOLUTION: I turned two problems into slop intercept form but I have to slove the sysytem. I'm stuck on what to do next: y= -3/2x+12 and y=3/2x+2      Log On


   

Question 107064: I turned two problems into slop intercept form but I have to slove the sysytem. I'm stuck on what to do next:
y= -3/2x+12
and
y=3/2x+2
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Since y=-3x%2F2%2B12 and y=3x%2F2%2B2, then,
-3x%2F2%2B12=3x%2F2%2B2
2%28-3x%2F2%2B12%29=2%283x%2F2%2B2%29
-3x%2B24=3x%2B4
3x%2B4=-3x%2B24
3x%2B3x%2B4=-3x%2B3x%2B24
6x%2B4=0%2B24
6x%2B4=24
6x%2B4-4=24-4
6x%2B0=20
6x=20
x=20%2F6=10%2F3
Solving for y,
y=-3x%2F2%2B12
y=-3%2810%2F3%29%2F2%2B12
y=-10%2F2%2B12
y=-5%2B12
y=7

Solving this system graphically,



They intersect at (10%2F3,7) therefore, both solutions are correct.

Power up,
HyperBrain!