SOLUTION: Five shirts and three pair of stacks cost $172. Three of the same shirts and four pair of the same stacks cost $156. How much does each shirt cost? How much does each pair of stack

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Question 1010495: Five shirts and three pair of stacks cost $172. Three of the same shirts and four pair of the same stacks cost $156. How much does each shirt cost? How much does each pair of stacks cost?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the prices of shirts and slacks, x and y. Then we have
5x + 3y = 172 and
3x + 4y = 156
Let's multiply the top by 3 and the bottom by 5 and subtract them, giving us
15x + 9y = 516
-(15x + 20y = 780)
------------------
-11y = - 264
y = $24 for slacks, then
5x + 3(24) = 172
5x + 72 = 172
5x = 100
x = $20 for shirts