
To calculate: The system of equations that represent the number of registrations and T-shirts bought each year.

Answer to Problem 16QC
The system of equations is
Explanation of Solution
Given information:
The charge of 1 registration was $15 and one T-shirt was $10 so the student council paid $180 last year. Now, they paid $150 and charge of 1 registrations is $12 and cost of 1 T-shirt is $9.
Calculation:
Consider the provided information that charge of 1 registration was $15 and one T-shirt was $10 so the student council paid $180 last year. Now, they paid $150 and charge of 1 registrations is $12 and cost of 1 T-shirt is $9.
Let x denote the number of registrations and y denote the number of T-shirts.
Consider the system of equations that represent the situation above.
Use the method of substitution to solve the system above.
From the equation
Now substitute
Now, substitute
Therefore, solution is the coordinate pair,
Thus, the system of equations is
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