Question

Question will be in picture

Answer 1

Consider the guven system of equations,

`\begin{gathered} x-y=-1 \\ 2x+y=4 \end{gathered}`

It is asked to find the correct graph which represent the solution of this system.

Logic: Find the solution and see which graph gives the same solution.

Add the equations,

`\begin{gathered} (x-y)+(2x+y)=-1+4 \\ 3x+3 \\ x=1 \end{gathered}`

Substitute this value in the first equation,

`\begin{gathered} 1-y=-1 \\ y=1+1 \\ y=2 \end{gathered}`

Thus, the given system has a unique solution (1,2).

Now, observe that only the graph given in option (c) shows the line intersecting at point (1,2).

Therefore, option (c) is the correct choice.