In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. determine the cost of each tie.

6x + 3y = 79.5
3x + 2y = 41     y = -3/2x + 41/2      y = -1.5x + 20.5

6x + 3(-1.5x + 20.5) = 79.5
6x - 4.5x + 61.5 = 79.5
1.5x + 61.5 = 79.5
1.5x = 18
x = 12

Each shirt costs $12.
Now insert that number into the x to find the cost of each tie.

3(12) + 2y = 41
36 + 2y = 41
2y = 5
y = 2.5

Each tie costs $2.50.

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