Solve the following system of equations. \[ \begin{array}{l} x-3 y=17 \\ x+7 y=-23 \end{array} \] \[ \begin{array}{l} x= \\ y= \end{array} \]

Step 1 ：\(x = 3y + 17\)

Step 2 ：\(3y + 17 + 7y = -23\)

Step 3 ：\(10y = -40\)

Step 4 ：\(y = -4\)

Step 5 ：\(x = 3(-4) + 17\)

Step 6 ：\(x = -12 + 17\)

Step 7 ：\(x = 5\)