SOLVING LINEAR EQUATIONS

Recall the following:


LINEAR EQUATION - Solve for x in the following equation.

Example 2: Solve

displaymath58

Get rid of the denominators by multiplying both sides by 6, the smallest number that 3, and 2 will divide into evenly.

Recall the line that separates the numerator and the denominator also functions as a parenthesis. It instructs the reader to treat the numerator as one number and the denominator as one number.

displaymath59





Simplify:

displaymath60

displaymath61

displaymath62

displaymath63





Subtract 14x from both sides of the equation and subtract 18 from both sides of the equation:

displaymath64





Divide both sides by 13:

displaymath65



The answer is x=2.




Check the solution by substituting 2 in the original equation for x. If the left side of the equation equals the right side of the equation after the substitution, you have found the correct answer.

Since the left side of the original equation equals the right side of the original equation after you substitute x=2, the answer x=2.

You can also check your answer by graphing tex2html_wrap_inline88 (left side of the original equation minus the right side of the original equation). The x-intercept is 2.


If you would like to review more examples, click on Example.

If you would like to test yourself by working some problems similar to this example, click on Problem

If you would like to go back to the equation Table of contents, click on Contents.

[Algebra] [Trigonometry]
[Geometry] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author:Nancy Marcus

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour