The cost of seeing a weekday show is 2/3 the cost of a weekend show. in one month, andy spent $42.50 for 4 weekday shows and 3 weekend shows. find the price of a weekday show and the price of a weekend show

x = weekday shows

y = weekend shows

x = 2/3y

4x + 3y = 42.50

4 (2/3y) + 3y = 42.50

8/3y + 3y = 42.50

8/3y + 9/3y = 42.50

17/3y = 42.50

y = 42.50 * 3/17

y = 127.50/17

y = 7.50

x = 2/3y

x = 2/3 (7.50)

x = 15/3

x = 5

so weekday shows (x) cost $ 5 and weekend shows (y) cost $ 7.50