Solve the system of equations. \[ \begin{array}{l}y=x+49 \\ y=9 x+17 \\ x=\square \\ y=\square\end{array} \]

To solve the system of equations, we have: 1) \( y = x + 49 \) 2) \( y = 9x + 17 \) Since both equations equal \( y \), we can set them equal to each other: \[ x + 49 = 9x + 17 \] Now, let's solve for \( x \): 1. Subtract \( x \) from both sides: \[ 49 = 8x + 17 \] 2. Subtract 17 from both sides: \[ 32 = 8x \] 3. Divide by 8: \[ x = 4 \] Now that we have \( x \), we can substitute it back into one of the original equations to find \( y \). We'll use the first equation: \[ y = x + 49 = 4 + 49 = 53 \] Thus, the solution to the system of equations is: \[ x = 4 \quad \text{and} \quad y = 53 \] So, we can fill in the boxes: \[ x = 4, \quad y = 53 \]