two records and three tapes cost $31.three records and two tapes cost $29 .find the cost of each record and each tape

Answer 1

2r + 3t = 31
3r + 2t = 29

1st times 2 ---> 4r + 6t = 62
2nd times 3 --> 9r + 6t = 87

subtract them
5r = 25
r = 5
back into the first ---> 10 + 3t = 31
3t = 21
t = 7

record costs $5 ,and a tape costs $7