1 Answer

Matthew Murdoch · Answer 1 · 2023-01-19T23:04:41+0000

To know if an ordered pair satisfy an equation we have to substitute the values in it and see if the left side is equatl to the right side.

Pair (-2,10)

In this case x=-2 and y=10. Plugging the values in the equation:

$\begin{gathered} 10=-3(-2)+4 \\ 10=6+4 \\ 10=10 \end{gathered}$

since both sides have the same value, this paired satisfy the equation.

Pair (-1,1)

In this case x=-1 and y=1. Then

$\begin{gathered} 1=-3(-1)+4 \\ 1=3+4 \\ 1=7 \end{gathered}$

since this is not true, this ordered pair don't satisfy the equation.

Pair (5,-11)

In this case x=5 and y=-11. Then

$\begin{gathered} -11=-3(5)+4 \\ -11=-15+4 \\ -11=-11 \end{gathered}$

since this is true the ordered pair satisfy the equation.

Pair (6,-22)

In this case x=6 and y=-22. Then

$\begin{gathered} -22=-3(6)+4 \\ -22=-18+4 \\ -22=-14 \end{gathered}$

since this is not true, this ordered pair don't satisfy the equation.

Therefore the ordered pairs that satisfy the equation are the points A and C.

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