Let's investigate how a system of equations applies to real world situations, and what the solution represents.

**TEKS Standards and Student Expectations**

**A(5) **Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:

**A(5)(C)** solve systems of two linear equations with two variables for mathematical and real-world problems

**Resource Objective(s)**

Students will use a variety of methods to find the solution to a system of equations. They will determine the reasonableness of a solution in a real world problem.

**Essential Questions**

What types of real world situations can be represented by a system of equations?

How can substitution be used to solve a system of equations?

How can a graph be used to determine the solution to a system of equations?

How can you determine if a solution is reasonable?

**Vocabulary**

- Elimination
- Intersecting Lines
- Linear Function
- Rate of Change
- Reasonableness
- Solution
- Substitute
- System of Linear Equations