Question

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.

3x + 2y = 36.50
2x + 5y = 50.00

Answer 1

x= 7.50/hr at library
y= 7.00/hr at coffee cart

Solution:
(3x+2y=36.59) *5
2x+5y=50.00) *(-2)

15x+10y=182.5
-4x-10y=-100

11x=82.5
x=7.50

2*7.5+5y=50
15+5y=50
5y=35
y=7