# Pt1420 Unit 1 Lab Report

**Topics:**Statistics, Justice, Ethics, Scientific method, Political philosophy, Statistical hypothesis testing /

**Pages:**2 (344 words) /

**Published:**Mar 13th, 2017

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For these equations to be equivalent there is one condition you must put on any real number a. The condition that must be put on a is that a cannot be 0. The main reason that a cannot be 0 is because when we substitute 0 for a in the second equation you must multiply x times 0. X times 0 is 0. Then when you put 0 in for a on the other side of the equation you must multiply 0 and 2. 0 times 2 also equals 0. So, you get a solution set of {0}. When you compare that to the first solution set it is not the same. The first solution set is {2}. A solution set of {0} is different from a solution set of {2} making the two equations not equivalent. So a can be any real non-zero number. A can be any real non-zero number because of the multiplicative property of equality. That property states that if you multiply both sides of the equation by an integer they will stay