Question

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

Answer 1

For
`y=3x`

(-10,-30)

For
`y=-9x+4`

(10,-86)

Step-by-step 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:

`y(x)=3x`

For (-2,-9)

`y(-2)=3(-2)=-6\\eq -9`

This ordered pair doesn't satisfy the equation.

For (-8,-18)

`y(-8)=3(-8)=-24\\eq -18`

This ordered pair doesn't satisfy the equation.

For (-8,-3)

`y(-8)=3(-8)=-24\\eq -3`

This ordered pair doesn't satisfy the equation.

For (-10,-30)

`y(-10)=3(-10)=-30`

This ordered pair satisfies the equation. Therefore is a solition of the equation
`y(x)=3x`

`y(x)=-9x+4`

For (10,-86)

`y(10)=-9(10)+4=-90+4=-86`

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

For (-4,-58)

`y(-4)=-9(-4)+4=36+4=40 \\eq -58`

This ordered pair doesn't satisfy the equation.

For (6,-41)

`y(6)=-9(6)+4=-54+4=-50\\eq -41`

This ordered pair doesn't satisfy the equation.

For (-6,57)

`y(-6)=-9(-6)+4=54+4=58\\eq 57`

This ordered pair doesn't satisfy the equation.

Answer 2

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

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