Solve system of equations using substitution:
1) 2x - y = 16
2y - x = -8

assign two variables and equations. solve.

jack and cameron are playing a game of paper football. by their rules, you can score a 5-point touchdown or a 7-point touchdown. in the game, there have been 13 touchdowns scored for a total of 71 points. how many of these touchdowns were 7-point touchdowns?

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.)