Students understand that the initial strategic goal in solving systems of linear equations is to produce a single linear equation in one variable that can be solved and used for substitution back into the system.
What to look for
Students are gaining flexibility in solving systems of equations and recognizing patterns that indicate which method is most efficient for a given system.
Mary is buying tickets for a movie.
- Each adult ticket costs $9.
- Each child ticket costs $5.
- Mary spends $110 on tickets.
- Mary buys 14 total tickets.
Answer: 10 adult tickets and 4 child tickets.