Which factor can you cancel from the numerator and denominator to simplify 7 times x minus 21 all over 18 minus 6 times x.? [Hint: (a−x) = − (x − a)]

Question

anonymous · Answer

These are the multiple choice answers
6 over 7.
x − 3
7 over 6.
x + 3

hero · Answer

$$\frac{7x - 21}{18 - 6x} = \frac{7(x - 3)}{6(3 - x)} =\frac{7(x-3)}{-6(x - 3)} $$

anonymous · Answer

how did you get -6(x-3)

hero · Answer

6(3 - x) = -6(x - 3)

Remember the Hint you were given above?

hero · Answer

What expression cancels?

anonymous · Answer

would the answer be 7 overs -6

hero · Answer

Which expression cancels? Do you see a factor of one that cancels?

hero · Answer

Do you know what it means to cancel a factor of one?

anonymous · Answer

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