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Chapter 13 Eraser Game! A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? Solve by substitution Y = 2x + 3 Y = 4x - 1 Solve by elimination challenge 5x = 2y – 15 3x + 3y = 12 A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current? Solve by graphing 2y – 4x = 2 Y = 2x - 4 Solve by substitution 2x – y = -4 -3x + y = -9 A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there? Solve by substitution 1 2 X= +3 2x –y = 6 Solve by substitution 8x + 2y = 13 4x + y = 11 Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. How much does the fudge and bubble gum cost? Solve by graphing Y = -x Y = 2x - 6 The sum of two numbers is 68 and their difference is 22. What are my two numbers? Solve by elimination X + y = -3 X–y=1 Solve by graphing 2x + 3y = 4 -4x – 6y = -8 Veronica has been saving dimes and quarters. She has 94 coins in all, and the total value is $19.30. How many dimes and how many quarters does she have? Solve by graphing X – 2y = 2 3x + y = 6 The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters? Solve by elimination 3a + b = 5 2a + b = 10 There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there? Solve by elimination X+y=3 2x – 3y = 16 Solve by graphing Y = -x – 2 Y = 2x - 4 A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students. Solve by elimination 8x – 3y = -11 2x – 5y = 27 Solve by elimination 2y = 4x 10x + 3y = 8 Solve by graphing 1 2 Y= 2x + y = 10 The sum of two numbers is 24. Their difference is 15. What a re the two numbers? Solve by substitution y = 5x 2x + 3y = 34 Solve by graphing Y=x–4 1 Y= −2 3 Solve by graphing Y + x = -2 Y = -x -2