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

2 answers

2R + 3T = 31
3R + 2T = 29

multiply the first by 2, and the second by 3, then subtract. That will allow you to find R. Sub it back into either of the two equations.
From the first statement, 2r + 3t = 31.

From the second statement, 3r + 2t = 29.

What do you have to do to make the coefficients of one of the variables be equal?

Having satified that requirement, what can you nopw do to eliminate one of the variables and solve for the other?