advertisement

Algebra 1-1 DA Name _____________________________________ 5.3 Solving Systems Using Elimination Homework Solve using elimination. 1. x + y = 11 x–y=7 2. x + y = 1 3x + y = 9 3. 2x + 3y = 14 2x – 4y = -14 4. 4x – y = -12 3x + 2y = 2 5. 5x – 3y = -5 -x + 2y = 8 6. 3x – 6y = -15 9x + 7y = -20 7. -2x + 5y = 17 3x – 4y = -15 8. 4x – 7y = -10 3x + 4y = 11 9. 2x – 7y = -9 -5x + 3y = 13 10. 9x + 4y = 3 4x – 5y = -19 Determine if the ordered pair is a solution to the system of equations. Show work. 11. x – 2y = 0 12. 4x + 4y = -4 3x – y = 10 -3x – 2y = 5 (2, 1) (-3, 2) 13. 5x – 2y = -2 -3x – y = 10 (-3, -1) 14. 4x + 3y = -5 5x + 2y = -8 (-2, 1) Set up the system of equations for each situation. Do not solve. 15. Molly’s Custom Kitchen Supplies sells handmade forks and spoons. The store sells forks for $5.50 and spoons for $3.50. Last summer Molly’s Custom Kitchen Supplies sold 61 handmade spoons and fork for $289.50. How many forks and how many spoons did they sell last summer? Write and solve the linear system. 16. The admission fee at a small fair is $2.00 for children and $5.50 for adults. On a certain day, 1700 people enter the fair and $5850 is collected. How many children and how many adults attended?