Name class date systems with three variables 3-4 practice form k solve by elimination. check your answers. to start, pair the equations to eliminate one variable and add. 1 . 2. solve each system by substitution. check your answers. 3. 4. 5. you have 17 coins in pennies, nickels, and dimes in your pocket. the value of the coins is $0.47. there are four times the number of pennies as nickels. how many of each type of coin do you have? 6. when you solve a system of equations, explain how you can determine if your solution is correct. solve each system using any method. 7. 8. 9. 10. for a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. the meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. you spend $48.50 on 13.5 pounds of food. you buy twice as many carrots as potatoes. a. write a system of three equations that represent how much food you bought. b. how much of each ingredient did you buy?