Question

Which ordered pairs is a solution of the following equation. Select all that apply.

y=9x−2

(1 point)
Responses

(2,16)

(1,7)

(−1,−11)

(0,−2)

(−1,11)

Answer 1

To determine if an ordered pair is a solution of the equation, we substitute the x and y values into the equation and see if it holds true.

For the equation y = 9x - 2:

Substituting (2,16):
16 = 9(2) - 2
16 = 18 - 2
16 = 16

Substituting (1,7):
7 = 9(1) - 2
7 = 9 - 2
7 = 7

Substituting (-1,-11):
-11 = 9(-1) - 2
-11 = -9 - 2
-11 = -11

Substituting (0,-2):
-2 = 9(0) - 2
-2 = 0 - 2
-2 = -2

Substituting (-1,11) is not possible since the y value would not be equal to 9x - 2.

The ordered pairs that are solutions of the equation are (2,16), (1,7), (-1,-11), and (0,-2).

Answer 2

Drag and drop the correct steps to solve the equation for x.

Make sure to put the steps in order. Not all steps listed will be used.

12−3x=8−4(2x−6)




(2 points)

Answer 3

1. Distribute the -4 in -4(2x - 6) to get -8x + 24.
2. Combine like terms on each side of the equation.
3. Simplify by distributing the -3 in -3x to get -36x.
4. Simplify by combining like terms on the right side of the equation to get 8 - 24 = -16.
5. Simplify by combining like terms on the left side of the equation to get 12 - 16x.
6. Move the constant term to the right side of the equation.
7. Move the variable term to the left side of the equation.
8. Divide both sides of the equation by the coefficient of x.
9. Solve for x by dividing both sides by the coefficient of x.