Question 756620: Please help me solve for t!!!!
7t/a-t - a+t/7t
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! We cannot solve for t from what was posted.
There is no equal sign, so there is no equation that would give any information about t.
EXAMPLES:
7t/(a-t) = (a+t)/7t and 7t/a-t = a+t/7t
are equations because each one has an equal sign.
They can be solved for t, and I will show you how I would solve them.
NOTE:
Those parentheses make a big difference in the meaning of the expressions on both sides of the equal sign.
With pencil and paper, I can easily write
7t/(a-t) = (a+t)/7t as .
Those long horizontal fraction lines above and below include invisible parentheses wrapping everything written above the line, and everything written below the line.
7t/a-t = a+t/7t can be written as 
which can be simplified to 
I don't like equations with fractions, so at this time, I would multiply everything times 7. That gives me the equivalent equation

Taking out common factor t, we get
--> --> 
Finally, we get the solution by multiplying both sides of the equal sign times , which is the same as dividing by 
--> --> --> --> 
7t/(a-t) = (a+t)/7t can be written as 
Multiplying oth sides of the equal sign times we get
--> 
Next, multiplying oth sides of the equal sign times we get
--> 
Now, adding to both sides of the equation, we get
--> 
There are two solutions to that equation.
One is and it can be written more elegantlu as .
The other solution is , which can be written more elegantly as .
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