Jackson solved the problem 3x-8=2(2x-7) using the following steps:

Question

STEP 1: Use Distributive Property to get 3x-8=4X-14
STEP 2: Use Addition Property of Equality to get 3x = 4x-14+8
STEP 3: Combine Like Terms to get 3x = 4x-6
STEP 4: Use Subtraction Property of Equality to get 3x-4x= -6
STEP 5: Combine Like Terms to get (-x)=-6
What is the last step?
• A. Use Property of Equality to get x= (-6)
• B. Divide both sides by -1 to get x=6
• C. Divide both sides by -1 to get x= (-6)
•
• D. Use Multiplication Property of Equality to get x=6

Answer 1

In the last step, we need to solve the equation \((-x) = -6\).

To isolate \(x\), we can divide both sides by \(-1\). This will give us:

\[ x = 6 \]

Thus, the correct choice is:

B. Divide both sides by -1 to get x=6.

Answer 2

A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair.
у = 45х + 75
What is the meaning of the initial amount for the equation?
• A. It means the technician charges $45 per hour for the repair.
• B. It means the technician charges a fixed amount of $45 for the repair.
C. It means the technician charges a fixed amount of $75 for the repair.
D. It means the technician charges $75 per hour for the repair.

Answer 3

In the equation \(y = 45x + 75\):

• \(45x\) represents the variable cost, which is the amount charged per hour (where \(x\) is the number of hours).
• \(75\) is the constant term, which represents the initial or fixed amount charged for the repair, regardless of how many hours are worked.

Therefore, the meaning of the initial amount (fixed amount) for the equation is:

C. It means the technician charges a fixed amount of $75 for the repair.