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10(9)/(y(y+3))-(y)/(y+3)=
A
(9+y^(2))/(y(y+3))
C
(3-y)/(y)
B
(9-y)/(y+3)
D
(3+y)/(y)

$10 \frac{9}{y(y+3)}-\frac{y}{y+3}=$ $\newline$ A $\frac{9+y^{2}}{y(y+3)}$ $\newline$ C $\frac{3-y}{y}$ $\newline$ B $\frac{9-y}{y+3}$ $\newline$ D $\frac{3+y}{y}$

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Solve multi-step equations with fractional coefficients

Full solution

Q.

10 \frac{9}{y(y+3)}-\frac{y}{y+3}=

\newline

A

\frac{9+y^{2}}{y(y+3)}

\newline

C

\frac{3-y}{y}

\newline

B

\frac{9-y}{y+3}

\newline

D

\frac{3+y}{y}

Combine terms over common denominator: Combine the terms over a common denominator, which is $y(y+3)$ . $\frac{10(9)}{y(y+3)} - \frac{y}{y+3} = \frac{90}{y(y+3)} - \frac{y^2 + 3y}{y(y+3)}$
Simplify numerator by combining like terms: Simplify the numerator by combining like terms. $(90)/(y(y+3)) - (y^2 + 3y)/(y(y+3)) = (90 - y^2 - 3y)/(y(y+3))$
Factor out $-1$ from terms: Factor out a $-1$ from the terms in the numerator that include $y$ . $\newline$ $(90 - y^2 - 3y)/(y(y+3)) = (90 - (y^2 + 3y))/(y(y+3))$
Recognize expression cannot be simplified further: Recognize that the expression cannot be further simplified to match any of the answer choices.

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