Solve each system using the elimination method. 5) x y 3 (5, 8) 6) x 3y 1 (4, 1) 2x y 18 x 5y 9 7) x 2y 2 (6, 2) 8) 4x y 15 (3, 3) x 7y 8 3x y 6 9) x 4y 1 10) 5x 4y 10 3x 4y 29 (7, 2) 5x 7y 25 (2, 5) 11) 8x 5y 16 12) 7x 6y 3 4x 7y 8 (2, 0) 3x 2y 1 (3, 4) 13) 4x 15y 13 14) 12x 7y 7 3x 5y 16 (7, 1) 3x 8y 8 (0, 1) 15) 9x 7y 14 16) 5x 2y 6 4x 3y 6 (0, 2) 4x 5y 18 17) 9x 2y 4 18) 12x 2y 3 6x 3y 11 2 a, 5b 8x 5y 9 3 19) 9x y 2 20) 4x 7y 13 18x 2y 4 12x 21y 5 21) x 12 4y 22) 5x 3y 11 2x 7 9y (8, 1) y 6x 4 (1, 2) 23) 4y 9 3x 3 24) 8x 6y 1 1 a5, b a 5x 16 6y 2 10y 6 4x 25) 2x 9 8y 26) 3x 2y 6 20y 5x 6 4y 12 6x 27) 6x 11y 1 28) 10x 4y 7 7x 13y 2 (9, 5) 12x 3y 15 29) 9x 6y 2 30) 4x 9y 3 6x 4y 11 36y 16x 12 31) What is the fi rst step in solving this system by the elimination method? DO NOT SOLVE. x 4 y 2 1 3 8 x 5 3 y 7 12 (2, 2) a3 4 , 3b 4 , 1 2 b a 9 2 , 13b Eliminate the fractions. Multiply the fi rst equation by 4, and multiply the second equation by 24. 32) What is the fi rst step in solving this system by the elimination method? DO NOT SOLVE. 0.1x 2y 0.8 0.03x 0.10y 0.26 Eliminate the decimals. Multiply the fi rst equation by 10, and multiply the second equation by 100. Solve each system by elimination. 33) 4 5 x 1 2 y 3 2 34) 1 3 x 4 5 y 13 15 2x 1 4 y 1 4 a5 8 1 6 x 3 4 y 1 2 , 4b a9, 8 3 b 5 4 x 35) 1 2 y 7 8 36) 1 2 x 11 8 y 1 2 5 x a 1 10 y 1 2 9 2 , 13b 2 5 x 3 10 y (2, 0) 4 5 x 4 37) y 2 1 (6, 1) 38) x 12 y 6 2 3 (8, 0) 3 8 x 5 3 y 7 12 x 4 y 3 2 39) x 12 y 8 7 8 40) 5 3 x 1 3 y 2 3 y 2 3 x 7 3 4 x 3 20 y 5 4 41) 1 2 x 5 4 y 3 4 42) y 2 4x 2 5 x 1 2 y 1 10 (1, 1) 1 3 x 3 8 y 5 8 a3 4 43) 0.08x 0.07y 0.84 0.32x 0.06y 2 (7, 4) 44) 0.06x 0.05y 0.58 0.18x 0.13y 1.18 (8, 2) 45) 0.1x 2y 0.8 0.03x 0.10y 0.26 (12, 1) 46) 0.6x 0.1y 0.5 0.1x 0.03y 0.01 (2, 7) 47) 0.4x 0.2y 0.1 0.6x 0.3y 1.5 48) x 0.5y 0.2 0.3x 0.15y 0.06 49) 0.04x 0.03y 0.16 0.6x 0.2y 1.15 (0.25, 5) 50) 0.5x 0.8y 0.3 0.03x 0.1y 0.24 (3, 1.5) 51) 17x 16(y 1) 4(x y) 19 10(x 2) 4(x 6) y 2 (4, 3) 52) 28 4(y 1) 3(x y) 4 5(x 4) y 3 28 5(2x 5) (5, 5) 53) 5 3y 6(3x 4) 8(x 2) 6x 2(5y 2) 7(2y 1) 4 54) 5(y 3) 6(x 1) 6x 7 3(2 3x) y 2(3y 8) 5 55) 6(x 3) x 4y 1 2(x 9) 4(2y 3) 10x 5(x 1) 4 (1, 1) 56) 8y 2(4x 5) 5x 7y 11 11y 3(x 2) 16 2(3y 4) x (7, 0) , 1b infi nite number of solutions of the form {(x, y)|x 0.5y 0.2} a 3 2 , 4b a1 3 , 1b www.mhhe.com/messersmith SECTION 4.3 Solving Systems by the Elimination Method 269
messersmith_power_introductory_algebra_1e_ch4_7_10
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