Three bottles of water and 2 bagels cost $8.23. At the same prices, 2 bottles of water and 5 bagels cost $8.64. Find the price per bottle of water and the price per bagel.

Work so far:
3x + 2y = 8.23
2x + 5y = 8.64

2 answers

correct. Now it's smooth sailing.
(3x + 2y = 8.23)2
(2x + 5y = 8.64)-3

6x + 4y = 16.46
-6x -15y = -25.92

-11y = -9.46
y = 1.16

3x + 2(1.16) = 8.23
3x + 2.32 = 8.23
3x = 5.91
x = 1.97

Does this look correct?