Linear Equations & Applications

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What is a Linear Equation?

A Linear Equation has to be able to be written in the form ax+b=0

a and b cannot equal 0

a and b have to be Real Numbers

How to Solve Linear Equations

Get rid of ( )

Collect like terms on each side

Add/Subtract terms from side to side

Divide to find x

Identities & Contradictions

An Identity has the solution set of all real numbers eg. 2x + 12 = 2(x + 6) = 0+0

Contradiction has no real solution. eg. 12=13

Formulas to Remember rate(time) = distance

(strength of solution1)(liters of solution1) + (strength of solution2)(liters of solution2) = (strength of total solution)(liters of total solution)