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

Verified Answer :

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 \(y=3x\)

(-10,-30)

For \(y=-9x+4\)

(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:

\(y(x)=3x\)

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.