list some equivalent forms of -x+3/6x-11 please helpppppppp!!!!!!! :(
as with any fraction, if you multiply top and bottom by the same thing, it remains unchanged
(-x+3)/(6x-11) * -4/-4 = (4x-12)/(44-24x)
(-x+3)/(6x-11) * (6x-11)/(6x-11) = -(6x^2-29x+33)/(36x^2-132x+121)
or, doing the division, we get
(-x+3)/(6x-11) = -1/6 + (7/6)/(6x-11)
or, separate the terms
(-x+3)/(6x-11) = -x/(6x-11) + 3/(6x-11)
To find equivalent forms of the given expression -x + (3/6)x - 11, we can simplify and rearrange the terms.
First, let's simplify the fraction 3/6. Since both 3 and 6 are divisible by 3, we can reduce the fraction to 1/2.
The expression now becomes:
-x + (1/2)x - 11
Next, let's combine the like terms, which means combining the terms with the same variable. In this case, the like terms are -x and (1/2)x. They can be combined by adding or subtracting their coefficients.
The coefficients of -x and (1/2)x are -1 and 1/2, respectively. To add or subtract them, we need to have the same denominator. Since -1 is equivalent to -2/2, we can rewrite the expression as:
(-2/2)x + (1/2)x - 11
Now, we can add the like terms:
(-2/2 + 1/2)x - 11
(-1/2)x - 11
By combining the like terms, we have obtained an equivalent form of the given expression: -x + (3/6)x - 11 = (-1/2)x - 11
Therefore, one equivalent form of -x + (3/6)x - 11 is (-1/2)x - 11.