Final answer:
Upon examination, none of the given options (A, B, C, D) are equivalent to 3x - 4y. Each option fails to rearrange into the form 3x - 4y without additional terms or incorrect coefficients.
Step-by-step explanation:
To determine which of the options is equivalent to 3x - 4y, we can try to rearrange each option to see if it can be converted into this form. The goal is to isolate y on one side to compare the coefficients of x and the constant terms.
Let's examine each option:
- Option A: y = -9/7x. In this equation, if we multiply both sides by -4, we do not get 3x, so this option is not equivalent.
- Option B: y = -3/4x. If we multiply both sides by -4 to get 4y, we would also need to multiply -3/4 by 3 to get 3x, but we would get -3x, not 3x, so this is not equivalent either.
- Option C: y = 3/4x - 9/4. Multiplying everything by 4 to get rid of the fraction: 4y = 3x - 9. Rearranging, we have 3x - 4y = 9, which is not the same because of the extra 9, so it is not equivalent.
- Option D: y = 4/3x - 9/4. Multiplying by -4 to get -4y on one side, we also get -4/3x which cannot be equivalent to 3x - 4y, so this is also not equivalent.
Nevertheless, none of the provided options are equivalent to 3x - 4y because none of them can be rearranged to this exact form without additional terms or different coefficients.