Question

I need to know which systems of question are graphed below

Answer 1

Given:

Graph is given as

To find: Which system of equations suits the given graph.

Substitute the given point (4,-1) in the given equations one by one to find the system of equations.

By substituting the point (4,-1) in the first two options. We get,

`\begin{gathered} x+y=5 \\ 4-1=5 \\ 3\\e5 \end{gathered}`

First two options doesn't suits the graph.

By Substituting in 3rd option,we get

`\begin{gathered} \text{Substituting in the first equation,} \\ x-y=5 \\ 4-(-1)=5 \\ 4+1=5 \\ 5=5 \\ \text{Substituting in the second equation,} \\ x-2y=2 \\ 4-2(-1)=2 \\ 6\\e2 \end{gathered}`

By substituting in the fourth equation,

`\begin{gathered} \text{Substitute in the first eqution} \\ x-y=5 \\ 4-(-1)=5 \\ 5=5 \\ \text{Substitute in the second equation} \\ x+2y=2 \\ 4+2(-1)=2 \\ 4-2=2 \\ 2=2 \end{gathered}`

Fourth option suits the given graph.

Therefore, the final answer is

`x-y=5\text{ and }x+2y=2`