genyjoannerubiera
03.09.2020 •
Mathematics
Please solve for x, and give me an explanation on how you did so? 1/2x-1/3=5/6
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Ответ:
Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 dividing both sides by 3
x = 7/3
Ответ:
The correct answer would be B because you have to add all of the a’s b’s and c’s together and then add them together!