Question

convert the equation $y = 2x + 5$ into standard form.
a. $2x + y = 5$
b. $x + 2y = 5$
c. $2x - y = -5$
d. $2x - y = 5$

Explanation:

Step1: Recall standard form

The standard form of a linear equation is \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\geq0\).

Step2: Start with the given equation

We have \(y = 2x + 5\).

Step3: Rearrange the equation

Subtract \(2x\) from both sides to get \( -2x + y = 5\). But we usually want \(A\) to be positive, so multiply both sides by \(-1\): \(2x - y = -5\).

Answer:

c. \(2x - y = -5\)