Use inverse operations to solve for y in the equation: 2.5y + 14 = 26.5(3 points)

Question

The first step to solve for y is to
, and the second step is to
. The solution for y is
​​​​​​​.

Answer 1

To solve the equation \( 2.5y + 14 = 26.5 \) using inverse operations, follow these steps:

1. First step: Subtract 14 from both sides of the equation. \[ 2.5y + 14 - 14 = 26.5 - 14 \] This simplifies to: \[ 2.5y = 12.5 \]

2. Second step: Divide both sides by 2.5 to isolate \( y \). \[ \frac{2.5y}{2.5} = \frac{12.5}{2.5} \] This simplifies to: \[ y = 5 \]

So, the solution for \( y \) is \( 5 \).

Summary:

• The first step is to subtract 14 from both sides.
• The second step is to divide both sides by 2.5.
• The solution for \( y \) is 5.