SOLUTION: CLASSIFY EACH SYSTEM AND DERTERMINE THE NUMBER OF SOLUTIONS. Y=-4X+7 12X+3Y=21

Algebra ->  Rational-functions -> SOLUTION: CLASSIFY EACH SYSTEM AND DERTERMINE THE NUMBER OF SOLUTIONS. Y=-4X+7 12X+3Y=21      Log On


   

Question 165846: CLASSIFY EACH SYSTEM AND DERTERMINE THE NUMBER OF SOLUTIONS.
Y=-4X+7
12X+3Y=21
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Line equations ---system%28y=-4x%2B7%2C12x%2B3y=21%29
1st eqn, it follows slope intercept form y=mx%2Bb ---> working eqn
slop;-4 & y intercept; 7
f(y)=0 ---> -7=-4x---> -7%2F-4=cross%28-4%29x%2Fcross%28-4%29
x=7%2F4
2nd eqn,via working eqn:
12x%2B3y=21
y=%2821-12x%29%2F3 ----> y=%2821%2F3%29-%2812x%2F3%29
y=-4x%2B7 ----> same as 1st eqn! y-intercept @ 7
f(y)=0 ---> x=7%2F4
We'll see the graph:
-- 2 identical lines of the same eqn; points(7/4,7)
Thank you,
Jojo