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Worksheet Worksheet 3

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} x \amp + \amp y \amp = \amp 6 \\ x \amp - \amp y \amp = \amp 2 \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} 3x \amp - \amp 2y \amp = \amp 4 \\ -6x \amp + \amp 4y \amp = \amp -8 \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} 2x \amp + \amp y \amp = \amp 3 \\ 4x \amp + \amp 2y \amp = \amp -3 \end{array} \right. \end{equation*}