Understanding Solutions in Mathematics | How to Find and Verify the Solution to an Equation

One solution

A solution in mathematics refers to any value or set of values that, when substituted into an equation or inequality, makes the equation or inequality true

A solution in mathematics refers to any value or set of values that, when substituted into an equation or inequality, makes the equation or inequality true. In other words, it satisfies the given condition or requirement.

For example, let’s consider the equation:

2x – 3 = 7

To find the solution to this equation, we need to determine the value of x that will make the equation true. By isolating the variable x, we can solve for x as follows:

2x – 3 + 3 = 7 + 3
2x = 10
x = 10/2
x = 5

In this case, the value x = 5 is the solution to the equation. When we substitute x = 5 back into the equation, we can verify that it satisfies the equation:

2(5) – 3 = 7
10 – 3 = 7
7 = 7

Therefore, x = 5 is the solution to this equation. It is important to note that an equation can have multiple solutions, or in some cases, no solution at all. However, in the given example, there is only one solution.

More Answers:
Exploring Zeros of Functions | Understanding the Role and Importance in Mathematics
How to Complete the Square | A Step-by-Step Guide for Algebra and Quadratic Equations
A Comprehensive Guide to Solving Systems of Equations | Methods, Solutions, and Applications

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