Question

8x - 4y = 20

Explanation:

Step1: Simplify the equation

We can divide the entire equation \(8x - 4y=20\) by 4 to simplify it.
\(\frac{8x}{4}-\frac{4y}{4}=\frac{20}{4}\)
Which simplifies to \(2x - y = 5\).

Step2: Solve for y (if needed)

We can rearrange the simplified equation \(2x - y=5\) to solve for \(y\).
Subtract \(2x\) from both sides: \(-y=5 - 2x\)
Multiply both sides by - 1: \(y = 2x-5\)

Or if we want to solve for \(x\):
From \(2x - y=5\), add \(y\) to both sides: \(2x=y + 5\)
Divide both sides by 2: \(x=\frac{y + 5}{2}=\frac{y}{2}+\frac{5}{2}\)

Answer:

If solving for \(y\): \(y = 2x - 5\); If solving for \(x\): \(x=\frac{y}{2}+\frac{5}{2}\) (or the simplified form of the original equation is \(2x - y=5\))