Question

write $2y = 10x - 16$ in standard form. identify a, b, and c.

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: Rearrange the given equation

We have the equation \(2y = 10x - 16\). To get it into standard form, we need to move the \(10x\) term to the left side. Subtract \(10x\) from both sides: \(- 10x+2y=-16\).

Step3: Make \(A\) non - negative

Since \(A\) should be non - negative, we multiply the entire equation by \(- 1\) to get \(10x-2y = 16\). Now we can identify \(A = 10\), \(B=-2\), and \(C = 16\).

Answer:

The standard form of the equation \(2y = 10x - 16\) is \(10x-2y = 16\), where \(A = 10\), \(B=-2\), and \(C = 16\).