Linear Equations & Applications

What is a Linear Equation? A Linear Equation has to be able to be written in the form ax+b=0a and b cannot equal 0a 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)