Miss Patterson is getting married soon. She would like to hire a professional who will come to her house and do hair and makeup for the bridal party on her wedding day.
She has narrowed it down to two possible choices. A woman from Burlington Salon
charges an initial fee of $30 and then an additional $20 per hour. Alternatively, a team
from Beauty by Dirk offers a free consultation and then charges a higher hourly rate of
$30. If it takes a certain amount of time to finish everyone's hair and makeup, Miss
Patterson will end up paying the same amount either way. How much would Miss
Patterson end up paying?

a) Write a system of linear equations to represent this situation.

b) Graph that system (assume the graph is increasing by 10s rather than 1s).

C) Find the solution and explain what it means.