Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
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Answer: Hello mate!
our equation in this problem is:
Now we have a rule in mathematics when the denominator is zero, the function is undefined (because you can not divide by zero). The two denominators that we have here are:
2x + 3 and x - 7, and now we can see for which values of x these denominators are zero in order to discard the values of x
1) 2x + 3 = 0
x = -3/2 = -1.5
and
2) x - 7 = 0
x= 7
(2x + 3); wich is equal to zero when x = -1.5 and x-7, wich is equal to zero when x = 7.
So just looking at these fractions you could assume that x = 7 and x= -1.5 are not possible solutions.