Let be "e" the number of tickets that the radio station gave away to employees and "l" the number of tickets that the radio station gave away to listeners.
Based on the data given in the exercise, you can set up the following System of equations:
Finally you must apply the Substitution Method to solve the System of equations.
To apply it, you must substitute the second equation into the first one and then you must for the variable "e".
Through this precedure you get the following value of "e":
The coefficients of the y terms are -3 and 2. The least common multiple of 3 and 2 is 6. So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.
4x − 6y = 42
-18x + 6y = 21
The signs are opposite, so add the equations together.
