6-4 Practice Elimination Using Multiplication Use elimination to solve each system of equations. 1. 2x = 2. 5x 2y = 3. 7x + 4y = y – –1 – –10 –4 3x 2y = 1 3x + 6y = 66 5x + 8y = 28 – 4. 2x 4y = 5. 3x + 2y = 6. 4x 2y = 32 – –22 –9 – 3x + 3y = 30 5x 3y = 4 5y = – –3x – –11 3x + 4y = 27 0.5x + 0.5y = 2x = 7. 8. 9. –2 – –7 5x 3y = 16 0.25y = 6 + = 0 x x – – 10. 6x 3y = 21 11. 3x + 2y = 11 12. + 2y = – –3x –15 2x + 2y = 22 2x + 6y = 2x 4y = 26 –2 – 13. Eight times a number plus five times another number is The sum of the two numbers is 1. What are the numbers? –13. 14. Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. Find the numbers. 15. FINANCE Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year, and the other rose 9% in one rose a total of $684 in one year, how much did he invest in each mutual year. If Gunther’s investment fund? Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find 16. CANOEING the rate at which Laura and Brent paddled the canoe in still water. The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 17. NUMBER THEORY 45 more than the original number. Find the number.
6-4 Practice Elimination Using Multiplication Use elimination to solve each system of equations. 1. 2x – y = –1 2. 5x – 2y = –10 3. 7x + 4y = –4 3x – 2y = 1 3x + 6y = 66 5x + 8y = 28 4. 2x – 4y = –22 5. 3x + 2y = –9 6. 4x – 2y = 32 3x + 3y = 30 5x – 3y = 4 –3x – 5y = –11 7. 3x + 4y = 27 8. 0.5x + 0.5y = –2 9. 2x – = –7 5x – 3y = 16 x – 0.25y = 6 x + = 0 10. 6x – 3y = 21 11. 3x + 2y = 11 12. –3x + 2y = –15 2x + 2y = 22 2x + 6y = –2 2x – 4y = 26 13. Eight times a number plus five times another number is –13. The sum of the two numbers is 1. What are the numbers? 14. Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. Find the numbers. 15. FINANCE Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year, and the other rose 9% in one year. If Gunther’s investment rose a total of $684 in one year, how much did he invest in each mutual fund? 16. CANOEING Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find the rate at which Laura and Brent paddled the canoe in still water. 17. NUMBER THEORY The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 45 more than the original number. Find the number.
6.4-Practice-Elimination-Using-Multiplication.docx