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Mr. Sims Solve using any method. 1. 4x + 7y = -10 3x – 7y = - 4 7x = -14 x = -2 Algebra 2 Section 10.2 E Substitution or Addition addition method add the 2 equations substitute into any equation with x and y 4x + 7y = -10 4(-2) + 7y = -10 -8 + 7y = -10 +8 +8 7y = -2 2 y 7 Mr. Sims 2. 6x + y = 0 -6x -6x y = -6x substitute into other equation for y 15x + 2y = 9 substitution method get top equation to read y = 15x + 2(-6x) = 9 15x – 12x = 9 3x = 9 into equation x = 3 substitute that reads y = y = -6x y = -6(3) y = -18 Mr. Sims 3. -2 3x – 8y = 1 -6x + 16y = -2 6x + 2y = 11 addition method multiply top by –2 {could also multiply bottom by 4} 6x + 2y = 11 18y = 9 1 y 2 substitute into any equation with x and y 6x + 2y = 11 1 6x 2 11 2 6x + 1 = 11 -1 -1 6x = 10 10 5 x 6 3 Mr. Sims 4. 2x + 8y = 8 4 3x – 2y = -16 addition method multiply bottom by 4 2x + 8y = 8 12x – 8y = -64 14x = -56 x=-4 substitute into any equation with x and y 2x + 8y = 8 2(-4) + 8y = 8 -8 + 8y = 8 +8 +8 8y = 16 y=2 Mr. Sims 5. 3x – 9y = 3 x + 8y = 9 x = -8y + 9 -8y -8y substitution method get bottom equation to read x = substitute into other equation for x 3(-8y + 9) – 9y = 3 -24y + 27 – 9y = 3 -33y + 27 = 3 combine like terms -27 -27 -33y = -24 x = -8y + 9 8 x 8 9 11 64 x 9 11 64 99 35 x 11 11 11 24 33 8 y 11 y substitute into equation that reads x = Mr. Sims Algebra 2 Section 10.2 E Assignment Use any method to solve the system of equations. 1.) 3x + 4y = 0 9x – 4y = 0 2.) 2x – 5y = 4 3x + 4y = 9 3.) 3x – 4y = 6 4x + 7y = 1 4.) -2x + 3y = 8 x – 5y = - 4 5.) -5x + 2y = 17 3x + 2y = 8 6.) 3x – 9y = 3 x + 8y = 9 Mr. Sims Any rebroadcast, reproduction, or other use of the pictures and materials from this site and presentations, without the express written consent of Mr. Sims, is prohibited. © Mr. Sims. All rights reserved. Mr. Sims