if 1-1/x=2-2/x, then 3-3/x=?
A. -3
B. -1/3
C. 0
D. 1/3
E. 3
idek how to do it?
show me what you have done so far.
1-1/x+2-2/x
writing down the equation by skipping the equal signs is not "showing some work"
1-1/x+2-2/x=3
1/2+2
1 - 1/x = 2 - 2/x
1 - 1/x = 2(1 - 1/x)
so, 1 - 1/x = 0
x = 1
so, 3 - 3/x = 3 - 3 = 0
To solve the given equation, we need to simplify it step by step:
1. Start with the equation: 1 - 1/x = 2 - 2/x
2. Obtain a common denominator for both fractions. In this case, the common denominator is x.
3. Multiplying 1 by x/x and 2 by x/x, we get: (x - 1)/x = (2x - 2)/x
4. Now we can equate the numerators: x - 1 = 2x - 2
5. Rearrange the equation by bringing all terms involving x to one side: 2x - x = 2 - 1
6. Simplify: x = 1
7. We have found that x = 1 is the solution.
Now, to find the value of 3 - 3/x, we substitute the value of x into the expression:
3 - 3/x = 3 - 3/1 = 3 - 3 = 0
Therefore, the value of 3 - 3/x is 0.
The answer is C. 0.