Question

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

Answer 1

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

Answer 2

Start off by combining like terms on the LHS (the terms with x in them).

So we get
`(-1)/(3)x+2x= (-1)/(3)x+ (6)/(3)x= (-5)/(3)x`

Replacing this result with what we had before on the LHS, we get
`(-5)/(3)x=3 (3)/(4)= (9)/(4)`

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

⇒
`x= (9)/(4)( (3)/(-5))`
⇒
`x= -(27)/(20)=-1(7)/(20)` ***This is a proper fraction