Question

Look at the system of equations below y = -3x + 2 y = 2x - 3 Which of the graphs above represents this system of equations?

Answer 1

We have the following:

We must calculate the solution since that is the point of intersection.

`\begin{gathered} y=-3x+2 \\ y=2x-3 \end{gathered}`

we equalize the equations and we have:

`\begin{gathered} -3x+2=2x-3 \\ 3x+2x=3+2 \\ 5x=5 \\ x=(5)/(5) \\ x=1 \end{gathered}`

for y:

`y=2\cdot1-3=-1`

The point is (1, -1)

Therefore, the answer is the graph A.