Week 2 Concept Check

Week 2 Concept Check - If it has no solution you will get...

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Running head: WEEK 2: CONCEPT CHECK 1 Week 2: Concept Check Belinda Surratt MAT/116 August 25, 2011 Diedra Faulkner

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WEEK 2: CONCEPT CHECK 2 Week 2: Concept Check When one side of an equation is identical to the other side, then there are an infinite number of solutions. For example, X=X. whatever you plug in for X would work. Or let’s take 4X+4X=8X, you would end up with 8X=8X, so any value for X is appropriate. Basically, if you see that the equation is already true without having to find what the value for x makes it true, then all values for X will work. This means that the equation has an infinite number of solutions. Now, how do you know when the equation has no solution? Well as you already know if you put any number for X, and do the equation, then you get one number=itself, it just simply means that there is an infinite number of solutions.
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Unformatted text preview: If it has no solution you will get an untrue answer, like 5=3. When you get a problem like 5=3, you can' solve it, it has no solution. It has no solution because five cannot equal to three. Only 5=5 and 3=3 can equal each other, not 5=3. Also, take 4X=4x-1. If you subtract the 4X you would end up with 0=(-1), and zero is obviously not unequal to -1. So this means that there is no solution no matter what number you plug in for X, it will not work. Unless the numbers are not equivalent on both sides of the equals sign, there is no solution. WEEK 2: CONCEPT CHECK 3 References Bittenger, M. L., & Beecher, J. A. (2007). Introductory and Intermediate Algebra (Third ed.). un: Addison Wesley....
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Week 2 Concept Check - If it has no solution you will get...

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