Question

I need to know the system of equation in the photo

Answer 1

The graph has a solution (4,-1);

That is, the system of equation must satisfy x=4 as y=-1.

LINE 1 has its y-intercept;

`\begin{gathered} (0,1) \\ \end{gathered}`

LINE 2 has its y-intercept as;

`(0,-5)`
`\begin{gathered} x+2y=2 \\ 2y=-x+2 \\ y=-(1)/(2)x+(2)/(2) \\ y=-(1)/(2)x+1 \\ \\ x-y=5 \\ y=x-5 \end{gathered}`

Thus, the system of equation that satisfy the graph is;

`\begin{gathered} x-y=5 \\ x+2y=2 \end{gathered}`