Question

What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus StartFraction 7 y + 8 Over y squared minus 16 EndFraction? Y = –4 y = –2 y = 4 y = 6

Answer 1

the answer is D

Explanation:

Answer 2

y = 6

Explanation:

`(-8)/(2y-8)=(5)/(y+4)-(7y+8)/(y^2-16) \quad\text{given}\\\\(-4(y+4))/(y^2-16)=(5(y-4))/(y^2-16)-(7y+8)/(y^2-16) \quad\text{use common denominator}\\\\-4y-16=5y-20-7y-8 \quad\text{multiply by that denominator}\\\\12=2y \quad\text{add 4y+28}\\\\6=y \quad\text{divide by 2}`