Drag each system of equations to the correct location on the table. Classify each system of equations as having a single solution, no solution, or infinite solutions. y = 5 - 2x 4x + 2y = 10
X = 26 - 3y 2x + 6y = 22
5x + 4y = 6 10x - 2y = 7
x + 2y = 3 4x + 8y = 15
3x + 4y = 17 -6x = 10y - 39
X + 5y = 24 5x = 12 - y

SINGLE ] NO ][ INFINITE SOLUTIONS

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)