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Solving Systems of Linear Equations Name ___________________________ by Graphing, Substitution or Elimination Hour ______ Situation 1- Solve by Graphing I am thinking of two numbers. The second number is 2 less than 3 times the first number and the difference of the two numbers is 4. (let x = first number; let y = second number) Equation #1: _________________________________ Equation #2: _________________________________ The 1st number is __________ The 2nd number is __________ Situation 2- Solve using Substitution You and your friend went to a carnival together. You played the ring toss game 5 times and the balloon & dart game 2 times and spent $11.50. Your friend played the ring toss game 1 time and the balloon & dart game 7 times and spent $15.50. (let x = price of ring toss game; let y = price of balloon & dart game) Equation #1: ________________________________ Equation #2: ________________________________ The ring toss game costs ___________ and the balloon & dart game costs __________ Situation 3- Solve using Elimination Tanya’s family and Ella’s family both went to the circus. Tanya’s family bought 4 tickets and 3 large bags of popcorn and spent $63. Ella’s family bought 6 tickets and 3 large bags of popcorn and spent $87. (let x = price of a ticket to the circus; let y = price of a large bag of popcorn) Equation #1: ________________________________ Equation #2: ________________________________ Each ticket to the circus costs __________ and each large bag of popcorn costs _________ Situation 4- Solve by Graphing A bag of mini donuts at the state fair costs $4 and a Equation #1: ________________________________ bag of cheese curds costs $3. You spend $36 and buy a total of 10 bags of mini donuts and cheese curds. (let x = # of bags of mini donuts; let y = # of bags of cheese curds) Equation #2: ________________________________ You bought ________ bags of mini donuts and ________ bags of cheese curds. Situation 5- Solve using Substitution You are shopping for hot dogs and hot dog buns for a barbeque with some friends. You buy 5 packages of hot dogs and 4 packages of buns and spend a total of $21. Each package of hot dogs costs twice as much as a package of hot dog buns. (let x = cost of a package of hot dogs; let y = cost of a package of hot dog buns) Equation #1: _________________________________ Equation #2: _________________________________ Each package of hot dogs costs _________ and each package of hot dog buns costs _________ Situation 6- Solve using Elimination 2 large pizzas and 3 side orders of breadsticks costs $38. 3 large pizzas and 2 side orders of breadsticks costs $47. (let x = cost of a large pizza; let y = cost of a side order of breadsticks) Equation #1: _________________________________ Equation #2: _________________________________ A large pizza costs ___________ and a side order of breadsticks costs ____________