Question

rearrange ( x = 5y - 3 ) into standard form.
a. ( x - 5y = -3 )
b. ( x + 5y = 3 )
c. ( 5y - x = -3 )
d. ( 5y - x = 3 )

Explanation:

Step1: Recall standard form

The standard form of a linear equation is \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non - negative. We start with the equation \(x = 5y-3\).

Step2: Rearrange the equation

Subtract \(5y\) from both sides of the equation \(x = 5y - 3\).
\(x-5y=5y - 3-5y\)
Simplifying the right - hand side, we get \(x - 5y=-3\).

Answer:

a. \(x - 5y=-3\)