Question

question 2-8
solve the following equation for x
4x - 8y = 20

Explanation:

Step1: Isolate the term with x

We have the equation \(4x - 8y = 20\). First, we add \(8y\) to both sides of the equation to get the term with \(x\) by itself. So, \(4x-8y + 8y=20 + 8y\), which simplifies to \(4x=20 + 8y\).

Step2: Solve for x

Now, we divide both sides of the equation \(4x = 20+8y\) by 4. \(\frac{4x}{4}=\frac{20 + 8y}{4}\). Simplifying the left side gives \(x\), and simplifying the right side: \(\frac{20}{4}+\frac{8y}{4}=5 + 2y\).

Answer:

\(x = 5 + 2y\)