Variable in Algebra
Variables are algebra’s essentials Even, their symbols are usual letters such as x, y, and z, that denote unknown numbers or values.
- Versatility: Variables can change values throughout a problem or equation. It allows us to investigate many scenarios and develop generic solutions.
- Relationships: Variables can be used to describe relationships between unknown quantities. For example: The given equation is 2a + b = 5. So, In this equation, we will see the link between a and b.
Examples of Variables
Example 1: Solve for x in the equation 3x + 5 = 17.
Solution:
3x + 5 = 17
⇒ 3x = 17 – 5
⇒ 3x = 12
⇒ x = 12/3
⇒ x = 4
Therefore, the value of “x” in the given equation is 4.
Example 2: Solve for “x” in the equation x2 − 4x + 3 = 0.
Solution:
x2 − 4x + 3 = 0
⇒ (x -3) (x – 1) = 0
Now, Let’s set each factor equal to 0.
(x -3) = 0 ⇒ x = 3
⇒ (x – 1) = 0 ⇒ x = 1.
Example 3: Solve x in the equation 2/x = 3.
Solution:
2/x = 3
⇒ 2 = 3/x
⇒ x = 2/3
Therefore, the value of x is 2/3.
Variable in Maths
In mathematics, variables are used for substitute values that allow us to solve problems and equations in various ways. Suppose, we must consider the space must be filled with numbers. Even though, they allow us to represent variable or unknown values.
For Example: Let’s consider If we have an equation like “x + 5 = 10,” the “x” is a variable that represents the number we want to find. So, now we answer the problem after determining what “x” is. Therefore, In this example, x is equal to 5.
In this article, we’ll look at the concept of variables in mathematics.