Answer:
x - 5y = -12 or 1x - 5y = -12
Step-by-step explanation:
The standard form is Ax + By = C
Where, if at all possible, A, B, and C are integers, and A is non-negative.
Given the linear function, [tex]y - 3 = \frac{1}{5}(x - 3)[/tex], we must transform this equation into its standard form.
We can start by distributing 1/5 into the terms inside the parenthesis:
Subtract 1/5x on both sides of the equation:
- y - 3 - 1/5x = 1/5x - 3/5 - 1/5x
This will result in:
Next, add 3 on both sides of the equation:
- y - 3 - 1/5x + 3 = -3/5 + 3
Simplify the like terms on the right-hand side of the equation:
We can eliminate the fractions and turn the coefficient of x (A) into a positive number by multiplying both sides of the equation by -5:
- -5(-1/5x + y) = (12/5) (-5)
Our linear equation in standard form is:
x - 5y = -12 or 1x - 5y = -12
where A = 1, B = -5, and C = -12
