Friday, January 10, 2014

How do you solve this equation? -16= -3v + 5v

First you combine any like terms on either side of the equation.  In this case, add -3v to 5v, which is 2v.  Then you must solve for v.  In order to do this you must isolate the variable (v).  You do this by performing the inverse operation, 2v means 2 multiplied by v, or 2 times v.  The opposite of multiplication is division so you divide 2 by v, 2/v.  Remember, what you do to one side of the equation you must do to the other side to keep it balanced.  So you divide -16 by 2, -16/2.  When you divide 2/v this cancels out the 2 and leaves the v by itself, you have isolated the variable.  When you divide -16/2 you get -8, so the answer is -8 = v.  I will write it in the equation form below:


    -16 = -3v + 5v


     -16 = 2v


 -16/2  = 2v/2


       -8 = v

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