Section 16.2 Worksheets
PDF Version of these Worksheets
Worksheet Worksheet 1
1.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
x \amp - \amp y \amp = \amp 5 \\
x \amp + \amp y \amp = \amp 1
\end{array} \right.
\end{equation*}
2.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
2x \amp - \amp 2y \amp = \amp 8 \\
-2x \amp + \amp 3y \amp = \amp -6
\end{array} \right.
\end{equation*}
Worksheet Worksheet 2
1.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
3x \amp + \amp 2y \amp = \amp -5 \\
2x \amp + \amp y \amp = \amp 2
\end{array} \right.
\end{equation*}
2.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
4x \amp + \amp 5y \amp = \amp 0 \\
2x \amp - \amp 3y \amp = \amp 3
\end{array} \right.
\end{equation*}
Worksheet Worksheet 3
1.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
-x \amp + \amp 2y \amp = \amp 6 \\
3x \amp - \amp 4y \amp = \amp 1
\end{array} \right.
\end{equation*}
2.
Solve the system of equations using the method of elimination.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
-3x \amp + \amp 5y \amp = \amp 3 \\
-2x \amp + \amp 3y \amp = \amp -2
\end{array} \right.
\end{equation*}
Worksheet Worksheet 4
1.
Attempt to solve the system of equations using the method of elimination. Explain what happened and the conclusion that you can draw from it.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
2x \amp + \amp 4y \amp = \amp 8 \\
-x \amp - \amp 2y \amp = \amp -4
\end{array} \right.
\end{equation*}
2.
Attempt to solve the system of equations using the method of elimination. Explain what happened and the conclusion that you can draw from it.
\begin{equation*}
\left\{ \begin{array} {rcrcr}
x \amp - \amp 3y \amp = \amp 2 \\
-3x \amp + \amp 9y \amp = \amp 5
\end{array} \right.
\end{equation*}
Worksheet Worksheet 5
1.
Solve the system of equations using the method of elimination.
\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*}
2.
Use the formula you derived from the previous problem to solve the system of equations. Do you find it easier to use the formula or to use the method of elimination?
\begin{equation*}
\left\{ \begin{array} {rcrcr}
-2x \amp + \amp 3y \amp = \amp 5 \\
3x \amp - \amp 5y \amp = \amp -6
\end{array} \right.
\end{equation*}
