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2 years ago

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defon2 years ago

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

2 years ago

Read 2 more answers

If you have 8/12 of pizza, how many thirds do you have?

Deffense [45]

8/12 is equivalent to 2/3.

5 0

3 years ago

Read 2 more answers

What is 28.2% of 1128

kap26 [50]

28.2% of 1128
(28.2%)(1128)
(28.2/100)(1128)
(0.282)(1128)
318.096

The answer is 318.096

4 0

2 years ago

Suppose that $1800 is borrowed for three years at an interest rate of 2% per year, compounded continuously. Find the amount owed

Schach [20]

1908

Step-by-step explanation:2% of 1800 is 36 36 x 3 is 108 + 1800 =1908

5 0

2 years ago

Explain how to determine if a proportional relationship exist between two variables in a table

Rufina [12.5K]

Answer:

a proportional relationship exists if the ratio of values is a constant

Step-by-step explanation:

The equation describing a proportional relationship is ...

y = kx

If you are given a table of values of x and y, they will be proportional if ...

y/x = k

for all (x, y) pairs.

3 0

2 years ago