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Mathematics 21 Online
OpenStudy (firejay5):

Solve and show work for the 10 problems: (3, 4, 7, 8, 10, 11, 13, 14, 19, & 20) of the following link: http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Solving%20Rational%20Equations.pdf It has the answers too, but I haven't looked at them yet. Just look at the questions. A medal will be rewarded for help.

OpenStudy (firejay5):

The problems are very complex for me to solve and I am not trying to let anyone give me the answers.

OpenStudy (carson889):

I'll get you started with 3. \[\frac{ 1 }{ 6b^{2} } + \frac{ 1 }{ 6b } = \frac{ 1 }{ b^{2} }\] Lets get rid of the 1/ b^2 in the denominator by multiplying both side by b^2, this gives us: \[b^{2}[\frac{ 1 }{ 6b^{2} } + \frac{ 1 }{ 6b } = \frac{ 1 }{ b^{2} }]=\frac{ 1 }{ 6 }+\frac{ b }{ 6 }=1\] Now we can subtract both sides by 1/6. Note that 1 = 1/1 or 6/6. \[\frac{ b }{ 6 } = \frac{ 6 }{ 6 }-\frac{ 1 }{ 6 }\] \[\frac{ b }{ 6 }=\frac{ 5 }{ 6 }\] Lets get rid of the 6 in the denominator to solve for b. We do this by multiplying both sides by 6, giving us: \[b=5\]

OpenStudy (firejay5):

@carson889 Is that the right answer

OpenStudy (firejay5):

@goformit100 Is the answer right?

OpenStudy (carson889):

Yes, it is.

OpenStudy (goformit100):

Yes your answer is correct :D well done Keep it up

OpenStudy (firejay5):

Are you good at Algebra II?

OpenStudy (goformit100):

No

OpenStudy (firejay5):

or at math

OpenStudy (carson889):

Do you have another question?

OpenStudy (firejay5):

Asking if it's right?

OpenStudy (carson889):

Logically it is sound and it matches the answer on the answer sheet

OpenStudy (firejay5):

the answer on the sheet says 1/6, but you got b = 5

OpenStudy (carson889):

That would be the answer for question one.

OpenStudy (carson889):

I did question 3, not question one.

OpenStudy (firejay5):

sorry! Could you do 4 more 19, 20, 4, and 7

OpenStudy (carson889):

4. \[\frac{ b+6 }{ 4b^{2} }+\frac{ 3 }{ 2b^{2} }=\frac{ b+4 }{ 2b^{2} }\] Lets multiply the second and third fraction by 2/2 so that all the numbers have the same denominator. \[\frac{ b+6 }{ 4b^{2} }+\frac{ 6 }{ 4b^{2} }=\frac{ 2b+8 }{ 4b^{2} }\] We can now combine like terms on the left hand side: \[\frac{ b+12 }{ 4b^{2} }=\frac{ 2b+8 }{ 4b^{2} }\] Now multiply both sides by 4b^2 \[b+12 = 2b + 8\] Solve for b: \[4 = b\]

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