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 $\displaystyle (2,1).$
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.