Solve the equation.
-$\frac{\mathrm{y}+1}{\mathrm{y}+6}-\frac{\mathrm{y}}{\mathrm{y}^{2}-36}=\frac{\mathrm{y}-3}{\mathrm{y}-6}$
A) $\frac{3}{4}$
B) $\frac{4}{5}$
C) $\frac{4}{3}$
D) 1

Question

Quizplus · Accepted Answer

The equation can be simplified by recognizing that $y^2 - 36$ is a difference of squares, $(y+6)(y-6)$. By finding a common denominator and simplifying, the equation reduces to $y = \frac{4}{3}$.

Solve the Equation y+1y+6−yy2−36=y−3y−6\frac{\mathrm{y}+1}{\mathrm{y}+6}-\frac{\mathrm{y}}{\mathrm{y}^{2}-36}=\frac{\mathrm{y}-3}{\mathrm{y}-6}y+6y+1​−y2−36y​=y−6y−3​ A) 34\frac{3}{4}43​ B) 45\frac{4}{5}54​ C) 43\frac{4}{3}34​ D) 1

Solve the Equation $\frac{\mathrm{y}+1}{\mathrm{y}+6}-\frac{\mathrm{y}}{\mathrm{y}^{2}-36}=\frac{\mathrm{y}-3}{\mathrm{y}-6}$ A) $\frac{3}{4}$ B) $\frac{4}{5}$ C) $\frac{4}{3}$ D) 1