Question

question: if 3y = 2x - 8, which of the following expressions gives x in terms of y?

Explanation:

Step1: Start with the equation

Given \(3y = 2x - 8\).

Step2: Isolate \(2x\)

Add 8 to both sides: \(2x=3y + 8\).

Step3: Solve for \(x\)

Divide both sides by 2: \(x=\frac{3y + 8}{2}\).

Answer:

The expression that gives \(x\) in terms of \(y\) is \(x=\frac{3y + 8}{2}\) (assuming the correct - looking option among the ones in the image is the one that matches this result, since the image is blurry and the options are not clearly readable).