Solving Linear Equations Using a General Strategy

A solution of an equation is a value of a variable that makes a true statement when substituted into the equation. For example, in $x+2=3$, the value of the variable $x$ is 1.

To find the solution to an equation in one variable, the goal is to isolate the variable on one side of the equation. For example,

$3x+1=9-x$

$+x+x$

$4x+1=9$

$-1-1$

      $4x=8$

You can check the solution by substituting the value into the equation.

$3(2)+1=9-2$

$6+1=7$

           $7=7$

Equations may take several steps to solve, so it is helpful to have a clear and organized strategy. The following table shows a general strategy to solve any linear equation in one variable. You may not need to use every step.

Videos: Solving Linear Equations