# Solving System of Equations by Graphing

• August 27th 2010, 09:21 AM
Gui
Solving System of Equations by Graphing
Hey!

I've got a problem I need help with. I'm trying to solve this system of equations by graphing.
However, I can't seem to convert the second equation into slope-intercept form so that I can graph it.
I just started 10th grade, and although I'm pretty good at math I'd appreciate if you didn't get too complicated :)

The problem:

5. Solve the system of equations by graphing:
$x+\frac{y}{2}=-3$
$\frac{x}{6}+\frac{y}{3}=2$

What I've got so far:
I've converted the first equation to slope-intercept form and graphed it:
$y=-2x-6$
The closest to getting the second equation in slope-intercept form I have is:
$y=-\frac{x}{2}+6$

Any and all help is appreciated, please and thanks! :)
• August 27th 2010, 09:23 AM
Ackbeet
Your second solved equation should be

$\displaystyle{y=-\frac{x}{2}+6},$ don't you think?
• August 27th 2010, 09:31 AM
Gui
Quote:

Originally Posted by Ackbeet
Your second solved equation should be

$\displaystyle{y=-\frac{x}{2}+6},$ don't you think?

Typo, yes that's as far as I got. However, with that, what's the slope?

EDIT: Oh, it's -0.5, correct?
• August 27th 2010, 09:34 AM
Ackbeet
Well, doesn't

$\displaystyle{-\frac{x}{2}=\left(-\frac{1}{2}\right)x?}$

[EDIT]: Right.
• August 27th 2010, 09:36 AM
Gui
Yes, it does. Thank you! :D

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