Question

Subtract -4x-2y/6 from 3x-2y/4?

1) -x-4y/10
2) 7x-2
3) -7x-4y/2
4) I don't know

Answer 1

The result of subtracting -4x-2y/6 from 3x-2y/4 is 17x-2y/12 after finding a common denominator and combining like terms.

Step-by-step explanation:

To subtract the fraction -4x-2y/6 from 3x-2y/4, we need to find a common denominator and then combine the terms. Here's the process step-by-step:

1. Find the least common denominator (LCD) for the two fractions, which is 12 in this case.
2. Convert each fraction to have the LCD. This gives us (-4x-2y)/6 × 2/2 = -8x-4y/12 and (3x-2y)/4 × 3/3 = 9x-6y/12.
3. Now we subtract the second fraction from the first:
   (9x-6y)/12 - (-8x-4y)/12 = (9x - 6y + 8x + 4y)/12 = 17x-2y/12.
4. Simplify the result if possible. In this case, the result is already in its simplest form.

So, the answer is 17x-2y/12.