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vagabundo [1.1K]
3 years ago
14

6372(52836y)+46x=665x(637y+57)

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

x=\frac{336670992y}{423605y+37859};\quad \:y\ne \:-\frac{37859}{423605}

Step-by-step explanation:

6372\left(52836y\right)+46x=665x\left(637y+57\right)\\6372\cdot \:52836y+46x=665x\left(637y+57\right)\\336670992y+46x=665x\left(637y+57\right)\\336670992y+46x=423605xy+37905x\\336670992y+46x-336670992y=423605xy+37905x-336670992y\\46x=423605xy+37905x-336670992y\\46x-\left(423605xy+37905x\right)=423605xy+37905x-336670992y-\left(423605xy+37905x\right)\\-423605xy-37859x=-336670992y\\-x\left(423605y+37859\right)=-336670992y\\\frac{-x\left(423605y+37859\right)}{-\left(423605y+37859\right)}=\frac{-336670992y}{-\left(423605y+37859\right)}\\x=\frac{336670992y}{423605y+37859};\quad \:y\ne \:-\frac{37859}{423605}

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#2
I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

5 0
3 years ago
in 2010, sarah spent $500 buying clothes. In 2013, she spent $350 buying clothes. What was the rate change from 2010 to 2013?
Yuki888 [10]

Answer:

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Step-by-step explanation

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5 0
3 years ago
usain bolt, a Jamaica retired sprinter and world record holder in the 100 meters, 200 meters and 4 × 100 meters relay, has an av
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For this case we have the following conversion of units:

1mi = 1609m

1h = 3600s

Thus, applying the conversion of units we have:

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Then, the distance traveled for 5 seconds is given by:

d = (10.4) (5)

d = 52m

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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