## SOLVING LINEAR EQUATIONS

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Recall the following:
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** A linear equation is a polynomial of degree 1.**** In order to solve for the unknown variable, you must isolate the
variable.**** In the order of operations, multiplication and division are
completed before addition and subtraction.
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LINEAR EQUATION - Solve for x in the following equation.

Example 2: Solve

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.

Simplify:

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

Divide both sides by 13:

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.

- Left side:
- Right Side:

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
(left side of the
original equation minus the right side of the original equation). The
x-intercept is 2.

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

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**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**.

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

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**Author:Nancy Marcus**

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