Systems of Equations Solve the system of equations by graphing. System of Equations \[ \begin{array}{l} 3 y-9 x=-18 \\ -y-4 x=-15 \end{array} \] Identify the Solution to the System of Equations as an Ordered Pair. Write \( D N E \) if the Solution does not exist. Write oo ( \( \infty \) ) if infinitely many solutions exist: Solution: \( \square \)

To begin solving the system by graphing, you can rewrite both equations in slope-intercept form (y = mx + b): 1. For the first equation, \(3y - 9x = -18\), rearranging gives: \[ y = 3x - 6 \] 2. For the second equation, \(-y - 4x = -15\), rearranging gives: \[ y = -4x + 15 \] Plotting these two lines on a graph will help you visually find the point of intersection, which represents the solution. Where the lines cross is the point that satisfies both equations simultaneously! The two lines intersect at the point (3, 3). Therefore, the solution to the system of equations is \( (3, 3) \). Solution: \( (3, 3) \)