Question

Question was provided via image upload.

Explanation:

Identify standard form structure

The question asks for the first step to isolate \(y\) in "Example 1". Although the exact equation of Example 1 is not visible, the options involve operations like "Subtract \(2x\) from both sides", "Add \(2x\) to both sides", "Divide both sides by 2", and "Multiply both sides by 2". This indicates a standard linear equation of the form \(2x + by = c\) or similar, where \(2x\) is a term on the same side as the \(y\) term.

Apply algebraic isolation rules

Using the Linear Equations concept, to isolate a variable \(y\) in an equation like \(2x + by = c\), we must first isolate the term containing \(y\) by moving other terms to the opposite side. Since \(2x\) is added on the left side, the standard first step is to subtract \(2x\) from both sides of the equation.

Select the correct option

Subtracting \(2x\) from both sides successfully isolates the term containing \(y\) (e.g., \(by = -2x + c\)), which matches the option "Subtract \(2x\) from both sides".

Answer:

• Divide both sides by 2
• Add 2x to both sides
• Subtract 2x from both sides (Correct answer)
• Multiply both sides by 2