Question 607286
cost of one tablecloth = T
cost of one napkin = N


8T + 5N = 106
1T + 6N =  24
Use the elimination procedure:
(multiply the second equation by 8)
8T + 48N = 192
Eliminate T:
8T + 48N = 192
8T +  5N = 106
-------------- (-)
43N = 86
N = 86/43 = 2


1T + 6N = 24
T + 6*2 = 24
T + 12 = 24
T = 24 - 12 = 12


so, the cost of one tablecloth is $12 and the cost of one napkin is $2