Answer:
x - 3y + 12 = 0
Explanation:
To write the equation 1/4x - 3/4y = -3 in standard form, we need to eliminate the fractions and rearrange the terms so that the variables are on one side of the equation and the constant is on the other side.
One way to eliminate the fractions is to multiply both sides of the equation by the least common multiple of the denominators, which is 4. This gives:
4(1/4x) - 4(3/4y) = 4(-3)
Simplifying each term, we get:
x - 3y = -12
Now we can rearrange the terms so that the variables are on the left side and the constant is on the right side:
x - 3y + 12 = 0