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Mathematics 14 Online
OpenStudy (anonymous):

Please Help! 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)] 6 over 7. x − 3 7 over 6. x + 3

OpenStudy (sumi29):

Alright

OpenStudy (sumi29):

The equations is\[(7x-21)/(18-6x)\]

OpenStudy (sumi29):

Take out the 7 common from the numerator, and the 6 common from the denominator to get\[7(x-3)/6(3-x)\]

OpenStudy (sumi29):

Now \[(3-x) = -(x-3)\]

OpenStudy (sumi29):

So, substituting, you will get the final equation as\[7(x-3)/-6(x-3)\]

OpenStudy (sumi29):

Cancel the (x-3) factor, to get the final answer as -7/6

OpenStudy (anonymous):

is it positive 7/6? theres no negative answer choices

OpenStudy (sumi29):

No the final answer is (x-3). That is the factor you can cancel out. -7/6 is what remains.

OpenStudy (anonymous):

oh okay thank you so much!

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