Week 2 Day 5 Assignment Concept Check Lavora Moses

Week 2 Day 5 Assignment Concept Check Lavora Moses -...

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MAT/116 Week 2 Concept Check Axia College of University of Phoenix Lavora Moses Instructor: Mrs. Jenell Sargent Date: December 16, 2011 How do you know when an equation has infinitely many solutions? An equation (with one variable) has infinitely many solutions when the end result is an equation which is always true. Example: 6x + 2 = 2(3x + 1) If we try and solve for x, look what we get 6x + 2 = 6x + 2 Subtract 2 both sides, 6x = 6x Subtract 6x both sides, 6x - 6x = 0, 0 = 0, 0 = 0 is obviously always true. Because of this, the answer for x is all real numbers, infinitely many solutions. This is in contrast to an equation which ends up with a false statement, like so: 5x + 1 = 5x + 9 If we subtract 5x both sides, we get 1 = 9 which is never true. In contrast to the above

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Unformatted text preview: example having infinite solutions, the answer to 5x + 1 = 5x + 9 is actually no solution. How do you know when an equation has no solution? If an equation has infinite solutions, that means that you can put any number into the missing parts (variables, question marks, blanks) and it will equal itself or the same number every time. Example: 2x=2x if you put in any number for x, and do the equation, then you will get one number=itself. That means that it has infinite solutions. If it has no solution you will get an untrue answer. Like 5=3 when you see something like 5=3, it has no solution because 5 cannot equal 3. Only 5=5 and 3=3, not 5=3....
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This note was uploaded on 02/29/2012 for the course BUS 210 taught by Professor Scottrought during the Spring '08 term at University of Phoenix.

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Week 2 Day 5 Assignment Concept Check Lavora Moses -...

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