Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
-$$\frac { 5 } { x + 7 } + \frac { 11 } { x + 8 } = \frac { 9 } { x ^ { 2 } + 15 y + 56 }$$
A) $x = - \frac { 27 } { 4 }$
B) $x = - \frac { 38 } { 5 }$
C) No solution
D) $x = - \frac { 73 } { 11 }$

Question

Quizplus · Accepted Answer

The equation can be rewritten as:$$\frac { 5 ( x + 8 ) + 11 ( x + 7 ) } { ( x + 7 ) ( x + 8 ) } = \frac { 9 } { x ^ { 2 } + 15 y + 56 }$$$$\frac { 5 x + 40 + 11 x + 77 } { x ^ { 2 } + 15 x + 56 } = \frac { 9 } { x ^ { 2 } + 15 y + 56 }$$$$5 x + 40 + 11 x + 77 = 9$$$$16 x + 117 = 9$$$$16 x = -108$$$$x = - \frac { 27 } { 4 }$$

Choose the One Alternative That Best Completes the Statement or Answers