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.

Explanation:

Consider

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

From the two equations

$\begin{gathered} 2x+1=-4x+7 \\ \\ 2x+4x=7-1 \\ \\ 6x=6 \\ \\ x=\frac{6}{6} \\ \\ x=1 \end{gathered}$

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).