Linear Equations
Wednesday, December 28th, 2011 at
4:24 pm
Linear Equations
Vocabulary:
An equation in x is a statement that two algebraic expressions are equal.
To solve –> finding all the values of x for which the equation is true.
The values of x are called solutions.
identity –> true for every real number in the domain
conditional equation –> is true for just some or even none
Linear Equation –
A linear equation in one variable x is an equation that can be written in the standard form
where a and b are real numbers with .
To solve linear equations:
1. Simplify both sides [remove brackets and combine like terms]
2. Isolate x on one side of the equation by ‘undo’ ing BEDMAS.

AS –> add & subtract first

DM –> multiply or divide last
Extraneous Solution –> sometimes a solution will not work.
Ex. a) ‘D’ – denominator = 0
b) negative number under the root sign
Examples:
LS = RS Identity
Conditional Equation
this is false so no solution.
Extraneous Root
Therefore there is no solution. makes the denominator = 0.
To review the concepts presented in this post, watch this free video about solving a linear equation.
Filed under: Prerequisites for PreCalculus
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