Subtract. Simplify, if possible.
-$$\frac { 7 } { 1 - y } - \frac { 5 } { y - 1 }$$
A) $\frac { 35 } { 1 - y }$
B) $\frac { 2 } { 1 - y }$
C) $\frac { 12 } { 1 - y }$
D) $\frac { - 2 } { 1 - y }$

Question

Quizplus · Accepted Answer

The correct answer is C.To subtract the fractions, we need to find a common denominator. The common denominator of $1 - y$ and $y - 1$ is $(1 - y)(y - 1)$. So, we can rewrite the fractions as:$$\frac { 7 } { 1 - y } - \frac { 5 } { y - 1 } = \frac { 7(y - 1) } { (1 - y)(y - 1) } - \frac { 5(1 - y) } { (1 - y)(y - 1) }$$Simplifying the numerator, we get:$$\frac { 7(y - 1) } { (1 - y)(y - 1) } - \frac { 5(1 - y) } { (1 - y)(y - 1) } = \frac { 7y - 7 - 5 + 5y } { (1 - y)(y - 1) }$$Combining like terms, we get:$$\frac { 7y - 7 - 5 + 5y } { (1 - y)(y - 1) } = \frac { 12y - 12 } { (1 - y)(y - 1) }$$Simplifying the fraction, we get:$$\frac { 12y - 12 } { (1 - y)(y - 1) } = \frac { 12(y - 1) } { (1 - y)(y - 1) } = \frac { 12 } { 1 - y }$$Therefore, the answer is C.

Subtract Simplify, If Possible 71−y−5y−1\frac { 7 } { 1 - y } - \frac { 5 } { y - 1 }1−y7​−y−15​

Subtract Simplify, If Possible $\frac { 7 } { 1 - y } - \frac { 5 } { y - 1 }$