How to Divide Linear Equations

Linear equations involve first-degree polynomials, such as 2x + 4 = 10. You can solve them for the variable x using addition, subtraction, multiplication and division. Linear equations can also contain two variables, such as x + 2y = 5. Solutions to linear equations with two variables are called ordered pairs, and such geometry problems are typically graphed. Linear equations with two variables are found in systems of equations. Equations with a coefficient and only one variable, such as 24x = 144, always require division and are fairly simple to solve.

Instructions

    • 1

      Divide by the coefficient on both sides of the equation to solve a linear equation with one variable. The coefficient is the number shown with a variable, such as 24x. In the equation 24x = 144, divide both sides by the coefficient 24.

    • 2

      Do the math for 24x / 24 = 144 / 24. Dividing by the coefficient is done to isolate the variable x on one side of the equation. Simplify the resulting equation:

      24x / 24 = 144 / 24

      x = 6

    • 3

      Use subtraction and division to solve more complex equations. Consider 3x + 7 = 25. Subtract 7 from both sides of the equation: 3x + 7 - 7 = 25 - 7. This isolates the x on one side of the equation: 3x = 18. Now the equation can be solved for x by dividing by the coefficient 3: 3x / 3 = 18 / 3. The solution is x = 6.

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