Question 58032This question is from textbook Beginning Algebra
: Can someone help me on this problem?
I have to solve the following systems by graphing:
3x - 6y = 9
x - 2y = 3
Can someone help with the graph since I have to send this on the computer and can't use paper.
Thanks so much,
Sher
This question is from textbook Beginning Algebra
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! Hi Sher,
This is a dependent system. If you tried to eliminate either variable you'd eliminate them both and get 0=0. I told you about that on the last question I answered. That means that graphically these to equations are represented by the same line. I didn't garph the last system, I can add a graph to that answer if you need it. Let me know.
:
L1) 3x - 6y = 9
L2) x - 2y = 3
:
For L1, let x=0 and solve for y:
3(0)-6y=9
-6y=9
-6y/-6=9/-6
y=-3/2
Plot (0,-3/2)
Now, let y=0 and solve for x:
3x-6(0)=9
3x=9
3x/3=9/3
x=3
Plot (3,0)
Connect the points and you have this line:
For L2), let x=0 and solve for y:
(0)-2y=3
-2y=3
-2y/-2=3/-2
y=-3/2
Plot (0,-3/2) Notice that it's right on top of the other line's y-intercept.
Let y=0 and solve for x:
x-2(0)=3
x=3
Plot (3,0) Notice that it's right on top of L1)'s x-intercept.
Connect the points and you have a line right on top of another line.
The graph below has both lines graphed, but you can only see one because graphically they are the same line.
Happy Calculating, Sher!!!
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