SOLUTION: a) Solve for n and check:
n+6 over 3 - n-3 over 2 = 2
b) Perform the indicated operation and express the result in lowest terms:
x²-9 over x-3 times 4x+8 over x²+5x+6
Algebra.Com
Question 197468: a) Solve for n and check:
n+6 over 3 - n-3 over 2 = 2
b) Perform the indicated operation and express the result in lowest terms:
x²-9 over x-3 times 4x+8 over x²+5x+6
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a) Solve for n and check:
- = 2
Multiply by 6 to get rid of the denominators
6* - 6* = 6(2)
Cancel out the denominators
2(n+6) - 3(n-3) = 12
:
2n + 12 - 3n + 9 = 12
;
-n + 21 = 12
:
-n = 12 - 21
:
-n = -9
Multiply both sides by -1; (n has to be positive)
n = +9
:
Check solution in original equation; substitute 9 for n
- = 2
- = 2
5 - 3 = 2
:
:
b) Perform the indicated operation and express the result in lowest terms:
*
Factor
* = 4
Look at this, everything cancels leaving just 4
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