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=-(2)/(3)x+2 \\ y=(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=-(2)/(3)x+2 \\ x=0\Rightarrow y=2 \\ (0,2) \\ y=0\Rightarrow-(2)/(3)x+2=0\Rightarrow-(2)/(3)x=-2\Rightarrow x=(-2)/(-(2)/(3))=3 \\ (3,0) \end{gathered}`

for the second equation, we get: