Question

Solve the system of linear equations (7) by graphing. And on the first equation that is my mouse not the line going through the "="

Answer 1

Given the system of equations:

$\begin{cases}y=-\frac{2}{3}x+2 \\ y=\frac{1}{3}x+5\end{cases}$

we can graph both equations by finding the two intercepts in each case. For the first equation, we have:

$\begin{gathered} y=-\frac{2}{3}x+2 \\ x=0\Rightarrow y=2 \\ (0,2) \\ y=0\Rightarrow-\frac{2}{3}x+2=0\Rightarrow-\frac{2}{3}x=-2\Rightarrow x=\frac{-2}{-\frac{2}{3}}=3 \\ (3,0) \end{gathered}$

for the second equation, we get:

$undefined$