Question

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