Question

Which ordered pair is a solution to the following linear system? Y=x+1y=-2x+1

Answer 1

Given:

The given system of linear equations is

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

Required:

We have to find the solution to the given system.

Step-by-step explanation:

We use The substitution method to find the solution to the given system.

`y=x+1`

Substitute the above value of y in the second equation

`\begin{gathered} y=-2x+1 \\ \Rightarrow x+1=-2x+1 \end{gathered}`
`\begin{gathered} \Rightarrow x+2x=1-1 \\ \Rightarrow3x=0 \end{gathered}`
`\begin{gathered} \Rightarrow x=(0)/(3) \\ \\ \Rightarrow x=0 \end{gathered}`

Now put the above value of x in the first equation to get the value of y.