# Thread: Solving System of Equations by Graphing

1. ## 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!

2. Your second solved equation should be

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

3. 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?

4. Well, doesn't

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

[EDIT]: Right.

5. Yes, it does. Thank you!

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