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?

Answers

The solution of the fraction given as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as 4 or – 0.25.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

A fraction can also be described as how many parts of a certain size there are, in a given whole.

Solution of the fraction

The fraction given can be written as follows;

-8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16)

simplify as follows;

-8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y – 4)(y+4)

-8/(2y – 8) = [5(y – 4) – (7y + 8)] /(y-4)(y + 4)

-8/(2y – 8) = (5y – 20 + 7y + 8)/(y-4)(y + 4)

-8/(2y – 8) = (12y – 12)/(y-4)(y + 4)

cross and multiply both sides of the equation;

-8((y-4)(y + 4)) = (12y – 12)(2y – 8)

-8(y² – 16) = 24y² – 96y – 24y + 96

-8y² + 128 = 24y² – 120y + 96

0 = 32y² – 120y – 32

solve the quadratic equation using formula method;

a = 32, b = -120, c = – 32

y = 4 or -0.25

Thus, the solution of the fraction given as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as 4 or – 0.25.

solutionof thefractiongiven as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as4or– 0.25.## What is fraction?

fractionrepresents a part of a whole or, more generally, any number of equal parts.fractioncan also be described as how many parts of a certain size there are, in a given whole.## Solution of the fraction

fractiongiven can be written as follows;## simplify as follows;

cross and multiply both sides of the equation;solutionof thefractiongiven as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as4or– 0.25.fractionhere: https://brainly.com/question/78672