Question

1. which expression can you substitute for x in \\(5x + y = 8\\) to solve the system shown? \\(\

$$\begin{cases} 5x + y = 8 \\\\ x + 4y = 2 \\end{cases}$$

\\) a \\(2 - 4y\\) b \\(-2 - 4y\\) c \\(2 + 4y\\)

Explanation:

Step1: Analyze the second equation

We have the equation \(x + 4y=2\). To express \(x\) in terms of \(y\), we need to isolate \(x\) on one side of the equation.

Step2: Solve for \(x\)

Subtract \(4y\) from both sides of the equation \(x + 4y = 2\). Using the subtraction property of equality, we get \(x=2 - 4y\).

Answer:

A. \(2 - 4y\)