The solution to a system of equations is \( (5,-19) \). Select the two equations that could make up the system. \( \square \begin{array}{l}y=-7 x+16 \\ \square \\ \square=-3 x-6 \\ y=-2 x-9 \\ \square \\ y=-x-17 \\ y=2 x-23\end{array} \)

To create a system of equations that has the solution \( (5, -19) \), we need to substitute \( x = 5 \) and \( y = -19 \) into potential equations to check if they hold true. The first equation \( y = -7x + 16 \) becomes: \[ -19 = -7(5) + 16 \] \[ -19 = -35 + 16 \] \[ -19 = -19 \] (True!) Now let's check the second equation \( y = -2x - 9 \): \[ -19 = -2(5) - 9 \] \[ -19 = -10 - 9 \] \[ -19 = -19 \] (True!) So, the two equations that form the system are: 1. \( y = -7x + 16 \) 2. \( y = -2x - 9 \) Great choice! Now you have a complete system of equations that perfectly balances at the point \( (5, -19) \)!