Question

What was the solution of the system of Equations Jose solved? (3,3), (1,3), (0,1), or (-1,11)

Answer 1

Given:

`\begin{gathered} y=2x+1 \\ y=-4x+7 \end{gathered}`

Required:

To solve the system of equation.

Step-by-step explanation:

Consider

`\begin{gathered} y=2x+1 \\ y=-4x+7 \end{gathered}`

From the two equations

`\begin{gathered} 2x+1=-4x+7 \\ \\ 2x+4x=7-1 \\ \\ 6x=6 \\ \\ x=(6)/(6) \\ \\ x=1 \end{gathered}`

Now

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

So (1,3) is thw solution.

Final Answer:

The solution is (1,3).