A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50. Represent the linear system in an augmented matrix:

x = hot dogsy = snacksx +y = 175x = 175-y2.50x + 0.75y = 262.502.50(175-y) +0.75y = 262.50437.50-2.50y + 0.75y = 262.50-1.75y = -175y = -175 / -1.75 = 100
100 snacks & 75 hot dogs