Systems of Two Linear Equations in Two Variables
Instructions
- The first videos below explain the concepts in this section.
- This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
Concepts
- The format and possible solutions for a system of two linear equations in two variables
- Solving a system of two linear equations with two variables
- Using a TI-84 calculator to solve a system of two linear equations with two variables
Exercises
Directions: You should attempt to solve the problems first and then watch the video to see the solution.
- Solve the following system of linear equations: \begin{align*} x+y&=2\\
-2x+y&=-1\end{align*}
- Solve the following system of linear equations: \begin{align*}y&=-x+2\\ y&=2x-1\end{align*}
3. Use a calculator to solve the following system of linear equations: \begin{align*} y&=-x+2\\ y&=2x-1\end{align*}
4. Use a calculator to solve the following system of linear equations: \begin{align*} x&=-4y+8\\ \frac{1}{2}&y-3=-\frac{1}{8}x\end{align*}
5. Use a calculator to solve the following system of linear equations: \begin{align*} 5y&=3x+15\\ 0.75&x+3.75=1.25y\end{align*}
Next Section
If you are working through the Algebra Series in order, then you have finished the sections on Linear Functions and Equations. Next you should try the Linear Quiz to test how well you learned the material.
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