Mathematics
pgangi
19

Answer any of the following: 1. Solve the system by substitution- 2x+y=-11, 3x-4y=11. 2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10. 3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9.

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(1) Answers
Peanut2

1. Solve the system by substitution -2x+y=-11, 3x-4y=11.  -2x+y=-11 y = 2x-11 3x-4y=11 3x-4(2x-11)=11 3x -8x + 44 = 11 -5x = -33 x =33/5 y = 11/5 2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10.  (-2x+6y=-12)5 -10x + 30y = -60 (5x-5y=10)2 10x - 10y = 20 Adding the two equations, -10x + 30y = -60 10x - 10y = 20 20y = -40 y = -2 x = 0 3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9.  -3x-2y=-12 y = -3/2 x + 6 9x+6y=-9 y = -3/2 x - 3/2 Since the slopes are equal then they are parallel lines so they never meet at one point.

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