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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)

Respuesta :

a)

The given equation is

[tex]y=-5x-2[/tex]

For the ordered pair (-3, -5)

Substitute x in the equation by -3 and find y

[tex]\begin{gathered} y=-5(-3)-2 \\ y=15-2 \\ y=13 \end{gathered}[/tex]

But y in the ordered pair is -5, then

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

For the ordered pair (4, -4)

[tex]\begin{gathered} y=-5(4)-2 \\ y=-20-2 \\ y=-22\ne-4 \end{gathered}[/tex]

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

For the ordered pair (-1, 3)

[tex]\begin{gathered} y=-5(-1)-2 \\ y=5-2 \\ y=3 \end{gathered}[/tex]

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

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

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