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Mathematics 20 Online
OpenStudy (anonymous):

simplify ((4x+2)/(x+5))-((3x-1)/(x+5))

jimthompson5910 (jim_thompson5910):

the denominators are the same, so you can combine these fractions

jimthompson5910 (jim_thompson5910):

you do so by subtracting the numerators and placing them over the common denominator

jimthompson5910 (jim_thompson5910):

similar example (x-1)/(x+3) - (2x+5)/(x+3) ( (x-1) - (2x+5) )/(x+3) ( x-1 - 2x-5 )/(x+3) ( -x-6 )/(x+3) Note: this is NOT the answer since it's just an example

OpenStudy (anonymous):

so you combine like terms?

jimthompson5910 (jim_thompson5910):

correct, in the numerator

jimthompson5910 (jim_thompson5910):

what do you get for your answer

OpenStudy (anonymous):

x+1/x+5

jimthompson5910 (jim_thompson5910):

close, but no

jimthompson5910 (jim_thompson5910):

keep in mind that you're subtracting off -1, so you're really doing -(-1) = +1

jimthompson5910 (jim_thompson5910):

(4x+2) - (3x-1) 4x + 2 - 3x + 1 ... notice the sign change

OpenStudy (anonymous):

so it would be x+3/x+5

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (anonymous):

thank you (:

jimthompson5910 (jim_thompson5910):

yw

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