Lesson 9: Solving Systems by Elimination (Alg1.2.15)

Later, she realized that she didn’t order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measuring tape and paid $178.50.  This system represents the constraints in this situation: Discuss with a partner:

1. In this situation, what do the solutions to the first equation mean? 
2. What do the solutions to the second equation mean?
3. For each equation, how many possible solutions are there? Explain how you know.
4. In this situation, what does the solution to the system mean?

Find the solution to the system. Explain or show your reasoning.

This system has three equations:

• Use the elimination method in the first two equations to get a new equation.
• Use the elimination method in the second two equations to get a new equation.
• Solve the system of your two new equations.
• Substitute to get all the variables.