SOLUTION: Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.

Algebra ->  Coordinate-system -> SOLUTION: Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.       Log On


   

Question 192871: Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


EQN1 : 4x+-+6y+=+12+
Let us find the intercepts.
Let Fy=0:
4x-6%280%29=12
cross%284%29x%2Fcross%284%29=cross%2812%293%2Fcross%284%291
red%28x=3%29, X-Intercept
Let Fx=0:
4%280%29-6y=12
cross%28-6%29y%2Fcross%28-6%29=cross%2812%292%2Fcross%28-6%291
red%28y=-2%29, Y-Intercept

Confirming to Slope-Intercept Form,system%28y=mx%2Bb%29:
4x-6y=12
4x-12=6y ---> %284x-12%29%2F6=cross%286%29y%2Fcross%286%29
y=%284%2F6%29x-12%2F6
red%28y=%282%2F3%29x-2%29
We see graph,
----> The Line 4x-6y=12 passes thru point (3,0), X-Intercept and point (0,-2), Y-Intercept.


EQN 2 : x+-+5y+=+10+

Finding the Intercepts:
Let Fy=0:
x-5%280%29=10
red%28x=10%29
Let Fx=0:
0-5y=10
cross%28-5%29y%2Fcross%28-5%29=cross%2810%292%2Fcross%28-5%291
red%28y=-2%29

Confirming to Slope-Intercept Form,system%28y=mx%2Bb%29
x-5y=10
x-10=5y
%28x-10%29%2F5=cross%285%29y%2Fcross%285%29
red%28y=%281%2F5%29x-10%2F5=%281%2F5%29x-2%29


We see graph,
----> Line x-5y=10 passes thru point (10,0),X-Intercept, and point (0,-2), Y-Intercept.


Thank you,
Jojo