Question

Show by substitution which of the order pairs satisfies that equation. a) y= -5x-2 (-3,-5), (4,-4), (-1,3), (3,-10) b) y= 1/3x +1 (9,5), (8,-5), (3,-7), (12, 5)

Answer 1

a)

The given equation is

`y=-5x-2`

For the ordered pair (-3, -5)

Substitute x in the equation by -3 and find y

`\begin{gathered} y=-5(-3)-2 \\ y=15-2 \\ y=13 \end{gathered}`

But y in the ordered pair is -5, then

(-3, -5) does not belong to the equation

For the ordered pair (4, -4)

`\begin{gathered} y=-5(4)-2 \\ y=-20-2 \\ y=-22\\e-4 \end{gathered}`

(4, -4) does not belong to the equation

For the ordered pair (-1, 3)

`\begin{gathered} y=-5(-1)-2 \\ y=5-2 \\ y=3 \end{gathered}`

It has the same value of y of the ordered pair, then

(-1, 3) belongs to the equation y = -5x - 2