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DATE NAME 8-4 Student Edition Pages 475–481 Practice Elimination Using Multiplication Use elimination to solve each system of equations. 1. 2x 1 5y 5 3 2x 1 3y 5 27 2. 2x 1 y 5 3 24x 2 4y 5 28 3. 5x 2 2y 5 210 3x 1 6y 5 66 4. 7x 1 4y 5 24 5x 1 8y 5 28 5. 4x 2 2y 5 214 3x 2 y 5 28 6. 5x 1 3y 5 210 3x 1 5y 5 26 7. 2x 1 y 5 0 5x 1 3y 5 2 8. 9x 2 6y 5 212 x 1 2y 5 0 9. 0.5x 1 0.5y 5 22 x 2 0.25y 5 6 Use a system of equations and elimination to solve each problem. 10. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the number with the digits reversed. Find the number. © Glencoe/McGraw-Hill 11. Suppose you invested $10,000, part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest after one year, how much did you invest at each rate? 59 Algebra 1 DATE NAME 8-4 Student Edition Pages 475–481 Practice Elimination Using Multiplication Use elimination to solve each system of equations. 1. 2x 1 5y 5 3 2x 1 3y 5 27 2. 2x 1 y 5 3 24x 2 4y 5 28 3. 5x 2 2y 5 210 3x 1 6y 5 66 4. 7x 1 4y 5 24 5x 1 8y 5 28 5. 4x 2 2y 5 214 3x 2 y 5 28 6. 5x 1 3y 5 210 3x 1 5y 5 26 7. 2x 1 y 5 0 5x 1 3y 5 2 8. 9x 2 6y 5 212 x 1 2y 5 0 9. 0.5x 1 0.5y 5 22 x 2 0.25y 5 6 (4, 21) (24, 6) (22, 4) (1, 1) (21, 5) ( 21, 1 2 (2, 10) (22, 0) (4, 28) ) Use a system of equations and elimination to solve each problem. 11. Suppose you invested $10,000, part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest after one year, how much did you invest at each rate? 10. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the number with the digits reversed. Find the number. 38 © Glencoe/McGraw-Hill $7200 at 6%, $2800 at 9% T59 Algebra 1