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uranmaximum [27]
3 years ago
8

-1/3x+2x=3 3/4 what does the variable represent?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
4 0
Start off by combining like terms on the LHS (the terms with x in them).

So we get \frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x

Replacing this result with what we had before on the LHS, we get \frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}

⇒Solve for x (divide both sides \frac{-5}{3})
⇒Don't forget about reciprocity rules when dividing.  This is the same as multiplying both sides by \frac{3}{-5}

⇒x= \frac{9}{4}( \frac{3}{-5})

⇒x= -\frac{27}{20}=-1\frac{7}{20} ***This is a proper fraction
katrin2010 [14]3 years ago
4 0
Add -1/3x and 2x and you get 5/3. Then your equation is 5/3 = 3 3/4. Turn 3 3/4 into a fraction and you get 15/4. Multiply both sides by 3/5 and you have x = 9/4

So the variable represents 9/4
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Option D

Step-by-step explanation:

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