Question

Fill in the blank question.
Use properties of equality to solve the equation. Check your solution
y/3+5=14

Answer 1

To solve the equation \( \frac{y}{3} + 5 = 14 \), we can use properties of equality. Here’s how to do it step by step:

1. **Subtract 5 from both sides**:
\[
\frac{y}{3} + 5 - 5 = 14 - 5
\]
This simplifies to:
\[
\frac{y}{3} = 9
\]

2. **Multiply both sides by 3** (to eliminate the fraction):
\[
3 \cdot \frac{y}{3} = 3 \cdot 9
\]
This simplifies to:
\[
y = 27
\]

Now, let's check the solution by substituting \( y = 27 \) back into the original equation:

\[
\frac{27}{3} + 5 = 14
\]

Calculating the left side:
\[
9 + 5 = 14
\]

Since both sides of the equation are equal, our solution is verified.

Thus, the solution to the equation is:
\[
\boxed{27}
\]