SOLUTION: Hello out there,I need some help with some problems,the first one is,Solve 6/x+2=2/x-4.The next one is,Solve 3/x+4-1/x=1/x.The third one is,Solve x/5=x+4/9.And the last one is,Solv
Algebra.Com
Question 114260: Hello out there,I need some help with some problems,the first one is,Solve 6/x+2=2/x-4.The next one is,Solve 3/x+4-1/x=1/x.The third one is,Solve x/5=x+4/9.And the last one is,Solve 1/2x+1/x=3/8,thanks to whoever can help.
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Ok, I'll do one, and then let you work on the rest.
This one is interesting because there are two ways to approach the solution. One of them is very simple and leads directly to the answer, and the other is rather more complex but illustrates a more general method of solution that you can use in many more situations. I'll show you both.
First the complex way:
Step 1: Notice that if x = 0 or x = -4, you will have a zero in the denominator, so remember to check the ultimate answer against these two values to ensure that you have a valid solution.
Step 2: Find a common denominator for the left side of the equation. The best we can do is , so
Step 3: Then combine terms, cross-multiply, and solve:
, Divide both sides by x,
, then add 4 to both sides
, then subtract x from both sides
.
Note that this answer is not one of the excluded values, so it is valid.
Now for the simple way,
Step 1: Same as step 1 above.
Step 2: Add to both sides
Step 3: Cross multiply and solve:
.
We got the same answer, so that is a very good sign. But we still need to check the answer in the original equation:
, Check.
Ok, your turn. Apply what you have learned to the other three problems.
Hope this helps,
John
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the first one is,
1.
Solve
multiply both sides by
reduce
multiply
move to the left and to the right
divide by
your answer
or if your problem looks like this:
.........multiply both sides by
.........
.........
.........
.........
.........
.........
2.
Solve 3/x+4-1/x=1/x.
..multiply both sides by
..reduce
..move and to the right
..
..
..divide by
.. your answer
3.
Solve
.multiply both sides by
.reduce
.
.
.
.reduce
.
4.
Solve
multiply both sides by
RELATED QUESTIONS
Hello out there,I need some help with some tough problems,the first one... (answered by jim_thompson5910)
Hello out there,I need some help with some problems,the first one is Find the excluded... (answered by jim_thompson5910)
Hello out there,I need some help with some problems,the first one is,Solve the... (answered by Edwin McCravy)
Hello out there,I need some help with some factoring problems,the first one is,Solve by... (answered by praseenakos@yahoo.com)
Hello out there,I need some help with some problems,the first one is,Solve the system of... (answered by checkley71)
Hello out there,I need some help with some problems,the first one is,Use substitution to... (answered by ankor@dixie-net.com)
Hello out there,I need some help with some math problems,the first one... (answered by scianci)
Hello out there,I need some help with some tough problems,the first one is,Find the LCM... (answered by stanbon)
Hello out there,I need some help with some problems,the first one is,Use elimination to... (answered by MathLover1,elima)