please help!! A restaurant charges $8 for a buffet plus $1.50 for each drink. Another restaurant charges $10 for a buffet plus $1 for each drink. The system of equations is graphed below.

Part 1: What is the solution?
Part 2: Show your work to verify the solution.
(ill post the graph in the comments)

Question

please help!! A restaurant charges $8 for a buffet plus $1.50 for each drink. Another restaurant charges $10 for a buffet plus $1 for each drink. The system of equations is graphed below. 

Part 1: What is the solution?
Part 2: Show your work to verify the solution. 
(ill post the graph in the comments)

anonymous · Answer

attachment

anonymous · Answer

y = 10 + x

y = 8 + 1.5x

set the two equal to each other

10 + x = 8 + 1.5x

2 = 0.5x
 
4 = x

plug x back into the first equation

y = 10 + (4)

y = 14

so the solution is (4,14)