What is 3y mean in a math problem
The Correct Answer and Explanation is :
In a mathematical context, (3y) represents a term in an algebraic expression where (y) is a variable, and (3) is a coefficient that indicates the number of times (y) is counted. To break it down further, let’s understand each component:
- Variable: The letter (y) is a variable, meaning it can represent any number. In algebra, variables are often used to generalize problems and represent unknown values. For instance, if we say (y = 2), then (3y) would equal (3 \times 2 = 6).
- Coefficient: The number (3) is called the coefficient of the variable (y). Coefficients tell us how many times to take the variable into account. In this case, (3y) means we have three times whatever value (y) represents.
- Expression: (3y) is considered an algebraic expression. It is a part of a larger mathematical equation or inequality. For example, in the equation (3y + 5 = 20), (3y) is part of a more extensive expression that can be solved to find the value of (y).
Example Problem
Let’s consider a simple equation involving (3y):
[
3y + 5 = 20
]
To solve for (y), follow these steps:
- Subtract (5) from both sides:
[
3y = 20 – 5
]
[
3y = 15
]
- Divide both sides by (3):
[
y = \frac{15}{3}
]
[
y = 5
]
In this example, we found that if (y = 5), then (3y) equals (15). Thus, (3y) plays a crucial role in representing relationships between numbers in equations, making it essential for solving various mathematical problems. Understanding how to manipulate and solve expressions like (3y) is foundational in algebra and higher-level mathematics.