Question

Convert the linear equation (7)/(3)x=(4)/(3)-(1)/(12)y into standard form.

Answer 1

To convert the linear equation (7)/(3)x=(4)/(3)-(1)/(12)y into standard form, multiply to eliminate fractions and rearrange variables.

Step-by-step explanation:

To convert the linear equation (7)/(3)x=(4)/(3)-(1)/(12)y into standard form, we need to eliminate the fractions and arrange the variables in the standard form Ax + By = C. Here are the steps:

1. Multiply both sides of the equation by the least common multiple (LCM) of the denominators to eliminate the fractions. In this case, the LCM is 36, so we have 36 * (7)/(3)x = 36 * (4)/(3) - 36 * (1)/(12)y.
2. Simplify the equation by multiplying and solving. We get 28x = 48 - 3y.
3. Rearrange the equation to get the variables on one side and the constant on the other side. We can rewrite it as 28x + 3y = 48.

Therefore, the linear equation (7)/(3)x=(4)/(3)-(1)/(12)y in standard form is 28x + 3y = 48.