1. ## graphing question

need help Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

y = 2x - 3
y = -2x + 5

2. Originally Posted by daniel323
need help Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

y = 2x - 3
y = -2x + 5
I mean you could just plot them out using...

$\displaystyle y = mx + b$

...where $\displaystyle m$ is the slope and $\displaystyle b$ is the intercept.

Or, add the equations like so:

$\displaystyle y = 2x - 3$
$\displaystyle \underline{y = -2x + 5}$

$\displaystyle 2y = 2 \implies \fbox{y=1}.$

So, subbing $\displaystyle y=1$ back into your first equation gives

$\displaystyle (1) = 2x-3 \implies \fbox{x=2}.$

The answer is $\displaystyle (2,1).$

3. how ??

4. Choose some $\displaystyle x$ values to plug in to both equations, then find the corresponding $\displaystyle y$ values:

$\displaystyle \underline{x}$ $\displaystyle \underline{y}$

$\displaystyle 1$ ..

$\displaystyle 2$ ..

$\displaystyle 3$ ..

Then, plot these coordinates on a graph for both equations.

You want the point at which the two lines intersect.

5. it was incorrect

6. Originally Posted by daniel323
it was incorrect
Check again. I wrote "x=2" and "y=1" but accidentally wrote "(1,2)." The answer is (2,1).

7. i got it wrong i cant go back to it its online test

8. it was 2,1