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uranmaximum [27]
2 years ago
13

#83 will give brainliest with best response!​

Mathematics
2 answers:
Brilliant_brown [7]2 years ago
8 0

Answer:

\frac{31x-159}{168y}

Step-by-step explanation:

\frac{x-4}{7y} - \frac{x+7}{8y} + \frac{x+3}{6y}

the LCD of the denominators is 168y , then

\frac{24(x-4)-21(x+7)+28(x+3)}{168y} ← distribute and simplify numerator

= \frac{24x-96-21y-147+28x+84}{168y}

= \frac{31x-159}{168y}

kupik [55]2 years ago
4 0

Answer:

\frac{31x - 159}{168y}

Step-by-step explanation:

First we need to find a common denominator between 7y, 8y, and 6y. And the smallest common denominator is 336y, which I got by multiplying 7*8*6 and since they all share y, we can just keep the y without multiplying it.

Now, we need to multiply each fraction by the correct number on the top and bottom to reach 336. When we do this, we get \frac{x-4}{7y} (\frac{48}{48} ) - \frac{x+7}{8y}(\frac{42}{42}) + \frac{x+3}{6y}(\frac{56}{56}). OMG. Well, now we need to expand the numerators...\frac{48x - 192}{336y} - \frac{42x + 294}{336y} + \frac{56x + 168}{336y}  = \frac{62x - 318}{336y}. Another OMG. But now we need to simplify...so we get \frac{31x - 159}{168y}. Done.

Hope this helps! :)

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