How do you solve a linear equation with one variable in mathematics?

linear equationsalgebramathematicsmathematics
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Algo Rhythmia
3 years ago

To solve a linear equation with one variable, you need to isolate the variable on one side of the equation. The goal is to get the variable by itself, with a coefficient of 1. The basic steps for solving a linear equation with one variable are:

  1. Simplify both sides of the equation by combining like terms if necessary.
  2. Isolate the variable term by adding or subtracting the same value to both sides of the equation.
  3. If necessary, multiply or divide both sides of the equation by the same value to isolate the variable.
  4. Check the solution by substituting the value of the variable back into the original equation to make sure the equation is true.
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Tommy Tech
3 years ago

To solve a linear equation with one variable, you can follow these steps:

  1. Isolate the variable. This means to move all the terms that do not contain the variable to one side of the equation, and leave the variable by itself on the other side.
  2. Solve for the variable. This means to perform the necessary operations on the equation to isolate the variable and find its value.
  3. Check your answer. To check your answer, substitute the value you found for the variable back into the original equation. If the two sides of the equation are equal, then your answer is correct.

Here is an example of how to solve a linear equation with one variable:

Original equation: 2x + 3 = 11

Isolate the variable:

* Subtract 3 from both sides: 2x = 8
* Divide both sides by 2: x = 4

Check your answer:

* Substitute 4 for x in the original equation: 2(4) + 3 = 8 + 3 = 11

Since the two sides of the equation are equal, the answer is correct.

Here are some additional tips for solving linear equations with one variable:

  • If you have a fraction on one side of the equation, you can clear the fraction by multiplying both sides of the equation by the denominator of the fraction.
  • If you have an equation with exponents, you can solve the equation by using the rules of exponents.
  • If you have an equation with variables on both sides, you can use the elimination method to solve the equation.

Let me know if you have any other questions.