Liza needs help to solve this linear equation. 4(x – 5) + 2x = 9x – 2(4 + 2x)

She has completed two steps, but now she’s stuck. Examine her work.

1. 4x - 20 + 2x = 9x - 8 - 4x

2. 6x - 20 = 5x - 8

What could be the next step? Select all that apply.
Add 8 to both sides.
Add 5x to both sides.
Subtract 6x from both sides.
Subtract 20 from both sides.
Divide both sides by –8.
Divide both sides by –20.

All that apply are Add 8 to both sides. Add 5x to both sides and Subtract 6x from both sides

Step-by-step explanation:

All are possible steps that could be used

It is A and C:

A: Add 8 to both sides

C: Subtract 6x from both sides

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer: 15

step-by-step explanation: