Final answer:
To put x = -2/7y + 3/4 into standard form, we multiply by the least common denominator of 7 and 4 to get 28x = -8y + 21, and then we rearrange to 8y + 28x = 21.
Step-by-step explanation:
To convert the equation x = -2/7y + 3/4 into standard form, we want to format it as Ax + By = C, where A, B, and C are integers, and A should be non-negative. We'll need to do a bit of rearrangement and potentially clear the fractions.
- Multiply each term by the least common denominator of 7 and 4, which is 28, to eliminate the fractions: 28x = -8y + 21.
- Now, we want to move all terms involving variables to one side of the equation and constant terms to the other side: 8y + 28x = 21.
- If necessary, we'd simplify further, but since all coefficients are now integers, we are done. The equation in standard form is 8y + 28x = 21.