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*}