1. Solve the following system of linear equations by graphing:
2x + 3y = 7
5x - y = 9
2. Solve the following system of linear equations by substitution:
3x - 2y = 7
5x + 4y = 13
3. Solve the following system of linear equations by elimination:
4x + 3y = 11
2x - 5y = -7
4. Determine whether the following system of equations has no solution, one solution, or infinitely many solutions:
6x - 3y = 9
4x - 2y = 9
5. Solve the following system of linear equations using any method of your choice:
x + 2y = 5
3x - y = 7
6. Create your own system of linear equations with two variables and solve it using the method of your choice.
7. Explain how you can determine the number of solutions to a system of linear equations using the graphical method.
8. What are the three possible outcomes for a system of linear equations with two variables? Explain each outcome briefly.
9. How can you determine if a system of linear equations has no solution using the elimination method?
10. Write a real-life situation that can be modeled by a system of linear equations and solve it.
Systems of Linear Equations Unit Test
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