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Felipe and Ajay manipulated the rational expression \dfrac{-6y - 4}{-8y - 4}
−8y−4
−6y−4
​
start fraction, minus, 6, y, minus, 4, divided by, minus, 8, y, minus, 4, end fraction. Their responses are shown below.
Felipe Ajay
\dfrac{3y+2}{2y+1}
2y+1
3y+2
​
start fraction, 3, y, plus, 2, divided by, 2, y, plus, 1, end fraction \dfrac{-6y}{-8y}
−8y
−6y
​
start fraction, minus, 6, y, divided by, minus, 8, y, end fraction
Which student wrote an expression that is equivalent to the original expression?

Respuesta :

Answer:

Neither of them

Step-by-step explanation:

                      [tex]\dfrac{-6y-4}{-8y-4} = \dfrac{2(-3y-2)}{4(-2y-1)} = \dfrac{-2(3y+2)}{-4(2y+1)} = \dfrac{2(3y+2)}{4(2y+1)}[/tex]

We can cancel this fraction and obtain:

                                            [tex]\dfrac{3y+2}{2(2y+1)}[/tex]

So neither of them wrote an expression that is equivalent to the original expression. Felipe's expression is missing a 2 in the denominator.

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