What does M equal in algebra
The correct Answer and Explanation is:
In algebra, the variable ( M ) can represent any unknown number or value in an equation, depending on the context of the problem. To determine what ( M ) equals, you must solve the equation where ( M ) is the unknown. For example, if you are given an equation like:
[
3M + 5 = 20
]
Here’s how you would solve for ( M ):
- Isolate the variable ( M ): The first step is to move all terms involving ( M ) to one side of the equation. You start by subtracting 5 from both sides of the equation to remove the constant term:
[
3M + 5 – 5 = 20 – 5
]
This simplifies to:
[
3M = 15
]
- Solve for ( M ): Next, divide both sides of the equation by 3 (the coefficient of ( M )) to isolate ( M ):
[
\frac{3M}{3} = \frac{15}{3}
]
This simplifies to:
[
M = 5
]
Therefore, in this equation, ( M ) equals 5.
Explanation:
In algebra, the goal is often to find the value of an unknown variable like ( M ). The process involves performing the same operation on both sides of the equation to maintain the balance of the equation. Operations include addition, subtraction, multiplication, and division. The fundamental principle is that whatever you do to one side of the equation, you must do to the other side to ensure equality. Solving for ( M ) requires “undoing” operations that have been applied to ( M ), step by step, until you isolate ( M ) on one side of the equation.
This approach is universal for solving linear equations, and understanding how to manipulate equations like this is key to mastering algebra.