Mastering One-Solution Equations | Techniques and Examples for Finding the Unique Value in Linear Equations

One-solution equations

One-solution equations, also known as linear equations, are mathematical equations that have only one solution

One-solution equations, also known as linear equations, are mathematical equations that have only one solution. In other words, there is a unique value for the variable in the equation that makes it true.

These equations can be represented in the form of “ax + b = c,” where “a,” “b,” and “c” are known coefficients and “x” is the variable to be solved. The goal is to isolate the variable on one side of the equation to find its specific value.

To solve a one-solution equation, you can use various techniques such as simplifying the equation, combining like terms, and performing inverse operations. The main objective is to get the variable alone on one side of the equation.

For example, consider the equation 3x + 2 = 8. To find the value of “x,” you can start by subtracting 2 from both sides of the equation to isolate the term with “x.” This yields 3x = 6. Then, divide both sides by 3, which gives you x = 2. Therefore, the equation has only one solution, x = 2.

It is important to note that not all equations have a unique solution. Some equations may have infinitely many solutions or no solution at all. And when it comes to non-linear equations, such as quadratic or exponential equations, they may have multiple solutions. However, one-solution equations always have exactly one value that satisfies the given equation.

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