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Worksheet Worksheet 5

1.
Suppose that \(m_1 \neq m_2\text{.}\) Then the following system of equations intersect at a single point. Determine the coordinates of that point.
\begin{equation*} \left\{ \begin{array} {rl} y \amp = m_1 x + b_1 \\ y \amp = m_2 x + b_2 \end{array} \right. \end{equation*}
2.
Suppose that the following system of equations intersect at a single point. Determine the coordinates of that point.
\begin{equation*} \left\{ \begin{array} {rcrcr} ax \amp + \amp by \amp = \amp c \\ dx \amp + \amp ey \amp = \amp f \end{array} \right. \end{equation*}