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Worksheet Worksheet 4

1.

Describe the configuration of the following system of equations. If they intersect at a single point, determine the coordinates of that point.

\begin{equation*} \left\{ \begin{array} {rcrcr} 2x \amp - \amp y \amp = \amp 7 \\ -x \amp + \amp 3y \amp = \amp -1 \end{array} \right. \end{equation*}

2.

Describe the configuration of the following system of equations. If they intersect at a single point, determine the coordinates of that point.

\begin{equation*} \left\{ \begin{array} {rcrcr} x \amp + \amp 3y \amp = \amp 0 \\ 2x \amp + \amp 5y \amp = \amp -1 \end{array} \right. \end{equation*}

3.

Describe the configuration of the following system of equations. If they intersect at a single point, determine the coordinates of that point.

\begin{equation*} \left\{ \begin{array} {rcrcr} 3x \amp - \amp 4y \amp = \amp -6 \\ -4x \amp + \amp 2y \amp = \amp -5 \end{array} \right. \end{equation*}