Question

Select all of the ordered pairs that are solutions to the equation y= -6x + 7

Answer 1

We must substitute each pair into our equation:

A. If we substitute point (1,1), we have

`\begin{gathered} 1=-6(1)+7 \\ 1=-6+7 \\ 1=1 \end{gathered}`

then, this point is a solution.

B. If we substitute point (-1,1), we have

`\begin{gathered} 1=-6(-1)+7 \\ 1=6+7 \\ 1=13\text{ !!!} \end{gathered}`

this means that this point is not a solution.

C. If we substitute point (-6,7), we have

`\begin{gathered} 7=-6(-6)+7 \\ 7=36+7 \\ 7=43\text{ !!!} \end{gathered}`

this means that this point is not a solution.

D. If we substitute point (3,-11), we have

`\begin{gathered} -11=-6(3)+7 \\ -11=-18+7 \\ -11=-11 \end{gathered}`

then, this point is a solution.

Therefore, the solutions are option A and D