which ordered pair is a solution of the equation y=3x

(-2,-9)
(-8,-18)
(-8,-3)
(-10,-30)

which ordered pair is a solution of the equation y=-9x + 4

(10,-86)
(-4, -58)
(6,-41)
(-6, 57)

please help explain these to me

Respuesta :

a.) (-10,-30) is a solution to the equation y = 3x

b.)
(10,-86) is a solution to the equation y = -9x + 4

Answer:

For [tex]y=3x[/tex]

(-10,-30)

For [tex]y=-9x+4[/tex]

(10,-86)

Explanation:

If a pair of points satisfies a given equation, then it can be concluded that the pair of points is a solution of the equation. So in order to determine which ordered pair is a solution of the equation provided, we need to evaluate every one them into the equation:

[tex]y(x)=3x[/tex]

For (-2,-9)

[tex]y(-2)=3(-2)=-6\neq -9[/tex]

This ordered pair doesn't satisfy the equation.

For (-8,-18)

[tex]y(-8)=3(-8)=-24\neq -18[/tex]

This ordered pair doesn't satisfy the equation.

For (-8,-3)

[tex]y(-8)=3(-8)=-24\neq -3[/tex]

This ordered pair doesn't satisfy the equation.

For (-10,-30)

[tex]y(-10)=3(-10)=-30[/tex]

This ordered pair satisfies the equation. Therefore is a solition of the equation [tex]y(x)=3x[/tex]

[tex]y(x)=-9x+4[/tex]

For (10,-86)

[tex]y(10)=-9(10)+4=-90+4=-86[/tex]

This ordered pair satisfies the equation. Therefore is a solition of the equation [tex]y(x)=-9x+4[/tex]

For (-4,-58)

[tex]y(-4)=-9(-4)+4=36+4=40 \neq -58[/tex]

This ordered pair doesn't satisfy the equation.

For (6,-41)

[tex]y(6)=-9(6)+4=-54+4=-50\neq -41[/tex]

This ordered pair doesn't satisfy the equation.

For (-6,57)

[tex]y(-6)=-9(-6)+4=54+4=58\neq 57[/tex]

This ordered pair doesn't satisfy the equation.