Question

Complete each ordered paired so that is is a solution of the given linear equation

Answer 1

The linear equation is given to be:

`y=(1)/(3)x-1`

The ordered pairs that represent solutions of the line are corresponding x and y-coordinates that are on the line.

Ordered pairs are written to be (x, y).

First Ordered Pair: (3, )

This means that:

`x=3`

To find the y-variable, we substitute for x into the equation:

`\begin{gathered} y=(1)/(3)(3)-1 \\ y=1-1 \\ y=0 \end{gathered}`

Therefore, the first ordered pair is (3, 0).

Second Ordered Pair: ( , 1)

This means that:

`y=1`

To find the x-variable, we substitute for y into the equation:

`\begin{gathered} 1=(1)/(3)x-1 \\ 1+1=(1)/(3)x \\ 2=(1)/(3)x \\ 2*3=(1)/(3)x*3 \\ x=6 \end{gathered}`

Therefore, the second ordered pair is (6, 1).