What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus Sta

Question

djverab [1.8K]

3 years ago

15

What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus Sta

rtFraction 7 y + 8 Over y squared minus 16 EndFraction? Y = –4 y = –2 y = 4 y = 6

Mathematics

2 answers:

love history [14] · Answer 1 · 2022-06-05T22:24:06+03:00

love history [14]3 years ago

8 0

Answer:

the answer is D

Step-by-step explanation:

antiseptic1488 [7] · Answer 2 · 2022-06-05T19:56:54+03:00

antiseptic1488 [7]3 years ago

6 0

Answer:

y = 6

Step-by-step explanation:

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