5.7 Linear equations in two variables

$(0,-7)$ .
If $x=0$ and $y=-7$ , we get a true statement upon substitution and computataion.

$$\begin{array}{lllll}\hfill y& =\hfill & 6x-7\hfill & \hfill & \hfill \\ -7\hfill & =\hfill & 6(0)-7\hfill & \hfill & \text{Is}\text{this}\text{correct?}\hfill \\ -7\hfill & =\hfill & -7\hfill & \hfill & \text{Yes,}\text{this}\text{is}\text{correct}\text{.}\hfill \end{array}$$

$(8,41)$ .
If $x=8$ and $y=41$ , we get a true statement upon substitution and computataion.

$$\begin{array}{lllll}y\hfill & =\hfill & 6x-7\hfill & \hfill & \hfill \\ 41\hfill & =\hfill & 6(8)-7\hfill & \hfill & \text{Is}\text{this}\text{correct?}\hfill \\ 41\hfill & =\hfill & 48-7\hfill & \hfill & \text{Is}\text{this}\text{correct?}\hfill \\ 41\hfill & =\hfill & 41\hfill & \hfill & \text{Yes,}\text{this}\text{is}\text{correct}\text{.}\hfill \end{array}$$

$(-4,-31)$ .
If $x=-4$ and $y=-31$ , we get a true statement upon substitution and computataion.

$$\begin{array}{lllll}\hfill y& =\hfill & 6x-7\hfill & \hfill & \hfill \\ -31\hfill & =\hfill & 6(-4)-7\hfill & \hfill & \text{Is}\text{this}\text{correct?}\hfill \\ -31\hfill & =\hfill & -24-7\hfill & \hfill & \text{Is}\text{this}\text{correct?}\hfill \\ -31\hfill & =\hfill & -31\hfill & \hfill & \text{Yes,}\text{this}\text{is}\text{correct}\text{.}\hfill \end{array}$$