Question

1. \

$$\begin{cases} a = b + 2 \\\\ a = 5b - 6 \\end{cases}$$

Explanation:

Step1: Substitute \(a = b + 2\) into \(a = 5b - 6\)

Since both expressions equal \(a\), we can set them equal to each other: \(b + 2 = 5b - 6\)

Step2: Solve for \(b\)

Subtract \(b\) from both sides: \(2 = 4b - 6\)
Add 6 to both sides: \(8 = 4b\)
Divide by 4: \(b = 2\)

Step3: Find \(a\) using \(a = b + 2\)

Substitute \(b = 2\) into \(a = b + 2\): \(a = 2 + 2 = 4\)

Answer:

\(a = 4\), \(b = 2\)