Systems of Equations Review solve \( \begin{array}{l}\begin{array}{l}2 x+18 y=22 \\ -x-9 y=-11\end{array} \\ \)\begin{tabular}{ll}\text { B I }\( \quad \text { u } \mid: \equiv \) \\ \hline\end{tabular}\end{array}

To solve the system of equations, first, we can simplify one of the equations. The second equation, \(-x - 9y = -11\), can be rearranged to express \(x\) in terms of \(y\): \[ x = -9y + 11. \] Now, substitute this expression for \(x\) in the first equation \(2x + 18y = 22\): \[ 2(-9y + 11) + 18y = 22. \] This simplifies to: \[ -18y + 22 + 18y = 22. \] This shows that the equation holds for all values of \(y\), meaning the system has infinitely many solutions, which corresponds to a line. You can choose any value for \(y\), and plug it into \(x = -9y + 11\) to find a corresponding \(x\). For example, if we let \(y = 0\), we find \(x = 11\), giving us the point \((11, 0)\). Alternatively, if \(y = 1\), then \(x = 2\), giving us the point \((2, 1)\). All points of the form \(( -9y + 11, y )\) will be solutions to the original equations.