Final answer:
By eliminating the fractions in the equation 1/4x - 3/4y = -1 by multiplying by 4, we get x - 3y = -4. However, due to a possible typo in the question options, there is no matching answer. If the original equation had been 1/4x - 3/4y = -1/4, then the answer would be 4x - 4y = -4.
Step-by-step explanation:
To convert the given equation 1/4x - 3/4y = -1 into standard form, we need to eliminate the fractions by finding a common denominator for the fractions involved and multiplying through the entire equation. In this case, we can multiply every term by 4 to get rid of the fractions.
Multiplying every term by 4, we have:
- 4 * (1/4x) = 4/4 * x = x
- 4 * (-3/4y) = -3/4 * 4/1 * y = -3y
- 4 * -1 = -4
Combining these results, we get the equation in standard form:
x - 3y = -4
Looking at our options, it seems there is a typo in the question, and no option that fits the result. However, if we assume the original question meant 1/4x - 3/4y = -1/4 instead of 1/4x - 3/4y = -1, then the answer would correctly match option A: 4x - 4y = -4.