Solving System of Equations by Graphing

Printable View

• Aug 27th 2010, 08:21 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:
$\displaystyle x+\frac{y}{2}=-3$
$\displaystyle \frac{x}{6}+\frac{y}{3}=2$

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

Any and all help is appreciated, please and thanks! :)
• Aug 27th 2010, 08:23 AM
Ackbeet
Your second solved equation should be

$\displaystyle \displaystyle{y=-\frac{x}{2}+6},$ don't you think?
• Aug 27th 2010, 08:31 AM
Gui
Quote:

Originally Posted by Ackbeet
Your second solved equation should be

$\displaystyle \displaystyle{y=-\frac{x}{2}+6},$ 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?
• Aug 27th 2010, 08:34 AM
Ackbeet
Well, doesn't

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

[EDIT]: Right.
• Aug 27th 2010, 08:36 AM
Gui
Yes, it does. Thank you! :D

Mods, this thread may be locked/trashed. :)