SOLUTION: Plot the graphs of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result. Please show a graph. Thanks!

Algebra ->  Linear-equations -> SOLUTION: Plot the graphs of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result. Please show a graph. Thanks!      Log On


   

Question 192766This question is from textbook
: Plot the graphs of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result. Please show a graph. Thanks! This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given Line Eqns,system%28+8x+-+4y+=+12+%28red%28EQN1%29%29%2C+-4x+%2B+2y+=+-6%28red%28EQN2%29%29%29

We will get the intercepts for each line.
In red%28EQN1%29, Let Fy=0:
8x+-+4%280%29+=+12+
cross%288%29x%2Fcross%288%29=cross%2812%293%2Fcross%288%292
red%28x=3%2F2%29, X-Intercept
Let Fx=0:
8%280%29-4y=12
cross%28-4%29y%2Fcross%28-4%29=cross%2812%293%2Fcross%28-4%291
red%28y=-3%29, Y-Intercept

Confirming to Slope-intercept Form,system%28y=mx%2Bb%29
8x+-+4y+=+12+
8x-12=4y ----> %288x-12%29%2F4=cross%284%29y%2Fcross%284%29
y=%288%2F4%29x-12%2F4
red%28y=2x-3%29
We'll see graph,
----> The line passes thru point (3/2,0) X-Intercept, and point (0,-3) Y-Intercept.



In red%28EQN2%29, let Fy=0:
-4x+%2B+2%280%29+=+-6
cross%28-4%29x%2Fcross%28-4%29=%28cross%28-6%29-3%29%2F%28cross%28-4%29-2%29
red%28x=3%2F2%29, X-Intercept
Let Fx=0:
-4%280%29%2B2y=-6
cross%282%29y%2Fcross%282%29=%28cross%28-6%29-3%29%2F%28cross%282%291%29
red%28y=-3%29, Y-Intercept

Confirming to Slope-Intercept Form,system%28y=mx%2Bb%29
-4x+%2B+2y+=+-6
2y=4x-6 ----> cross%282%29y%2Fcross%282%29=%284x-6%29%2F2=%284%2F2%29x-6%2F2
red%28y=2x-3%29 ---> The Same as Line as above.


Thank you,
Jojo