SOLUTION: In My work, I have fractions (Negatives&&Positives) multiplied by a variable. Then it equals a number. Here's one problem: 7/2a=35 Here's another: x-9/10x=7 Please Help. (L

Algebra ->  Expressions-with-variables -> SOLUTION: In My work, I have fractions (Negatives&&Positives) multiplied by a variable. Then it equals a number. Here's one problem: 7/2a=35 Here's another: x-9/10x=7 Please Help. (L      Log On


   

Question 100398This question is from textbook IDK
: In My work, I have fractions (Negatives&&Positives) multiplied by a variable. Then it equals a number. Here's one problem:
7/2a=35
Here's another:
x-9/10x=7
Please Help. (LOL) I Absolutely don't get this. This question is from textbook IDK

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2F2%29a=35 Start with the given equation


%282%29%28%287%2F2%29a%29=%282%29%2835%29 Multiply both sides by 2.


7a=70 Multiply


a=%2870%29%2F%287%29 Now divide both sides by 7 to isolate and solve for a


a=+10 Reduce


So the answer is a=+10



x-%289%2F10%29x=7 Start with the given equation


%2810%29%28x-%289%2F10%29x%29=%2810%29%287%29 Multiply both sides by the LCM of 10. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



10x-9x=70 Distribute and multiply 10 by each term on both sides



x=70 Combine like terms on the left side

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Answer:
So our answer is x=70