Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed. The total number of liters of syrup and water he mixed was 7 liters. Which graph best shows the number of liters of fruit syrup and water that Rex added to make the fruit punch?

Question

Damarion Farmer

Mathematics

1 November, 23:07

Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed. The total number of liters of syrup and water he mixed was 7 liters. Which graph best shows the number of liters of fruit syrup and water that Rex added to make the fruit punch?

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Korbin · Answer 1

X + y = 7 - - > x = - y + 7 3y = 2x + 6 now sub - y + 7 in for x in the 2nd equation 3y = 2 (-y + 7) + 6 3y = - 2y + 14 + 6 3y = - 2y + 20 3y + 2y = 20 5y = 20 y = 4 now sub 4 in for y in the 1st equation x + y = 7 x + 4 = 7 x = 7 - 4 x = 3 I do not see a graph, however, he added 3 liters of fruit syrup and 4 liters of water.