SOLUTION: A. Perform the indicated operation and express the result in simplest form: 3x+24 over x+2 times x²-6x-16 over x²-64 B. Solve for x: x+4 over 2 plus 2x over 3 equals 9

Algebra.Com
Question 199096: A. Perform the indicated operation and express the result in simplest form:
3x+24 over x+2 times x²-6x-16 over x²-64
B. Solve for x: x+4 over 2 plus 2x over 3 equals 9

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A. Perform the indicated operation and express the result in simplest form:
*
Factor, then everything cancels except 3
* = 3
;
:
B. Solve for x:
+ = 9
Multiply by 6
6* + 6* = 6(9)
cancel denominators, results:
3(x+4) + 2(2x) = 54
:
3x + 12 + 4x = 54
:
7x = 54 - 12
:
7x = 42
x =
x = 6
:
Check solution in original equation
+ = 9
+ = 9
5 + 4 = 9
:

RELATED QUESTIONS

a) Solve for n and check: n+6 over 3 - n-3 over 2 = 2 b) Perform the indicated... (answered by ankor@dixie-net.com)
Perform the indicated operation and express answer in simplest form: x^2 - (y - 1)^2 / (answered by stanbon)
Perform the indicated operation and express answer in simplest form: x^2 - (y - 1)^2... (answered by Earlsdon)
How do you perform the indicated operation and simplify? 5 over x + 2 over... (answered by Maths68)
perform the indicated operation and simplify your answer: x^2+6x+5 over 3x^2-9x-12... (answered by greenestamps)
perform the following operation and express the answer in simplist form. 3x over 4 minus (answered by richwmiller)
Perform the indicated operation involving rational expressions. Express the final answer... (answered by jim_thompson5910)
Perform the indicated operation. x squared - 3x OVER 5x squared TIMES 10x OVER x... (answered by scott8148)
Perform the indicated operation and simplify. x^2+x-12 over x^2-5x+6 - x+3 over... (answered by CubeyThePenguin)