\( \left\{\begin{array}{l}x+y=175 \\ x=4 y+20\end{array}\right. \)

Step 1 ：1. Substitute x from equation 2 into equation 1: \(y+4y+20=175\)

Step 2 ：2. Combine like terms: \(5y+20= 175\)

Step 3 ：3. Solve for y: \(y=31\)

Step 4 ：4. Substitute y into equation 2: \(x=4(31)+20\)

Step 5 ：5. Solve for x: \(x=124\)