College Math Placement Practice Test

What is the solution for y in the equation y/3 = 5?

1. 10

2. 15

3. 20

4. 25

The correct answer is: 15

To find the solution for y in the equation \( \frac{y}{3} = 5 \), you start by isolating y. This can be done by eliminating the fraction. You can achieve this by multiplying both sides of the equation by 3: \[ 3 \times \frac{y}{3} = 3 \times 5 \] On the left side, the 3s cancel each other out, leaving you with: \[ y = 15 \] The right side simplifies to 15. Thus, the solution for y is indeed 15. This process showcases basic algebraic principles, specifically the idea of maintaining equality by performing the same operation on both sides of the equation. This understanding is fundamental for solving linear equations in algebra.