Solve the following system.

2x + 4y + 3z = 2 x + 2y - z = 0 4x + y - z = 6

A. {(-3, 2, 6)}

B. {(4, 8, -3)}

C. {(3, 1, 5)}

D. {(1, 4, -1)}

label the equations with 1,2,3 from top to bottom

2-3: x+2y-z-4x-y+z=-6, -3x+y=-6, y=3x-6

plug y=3x-6 into 2: x+2(3x-6)-z=0, z=7x-12

plug y=3x-6, z=7x-12 into 1: 2x+4(3x-6)+3(7x-12)=2, 35x-60=2, 35x=62, x=62/35

thus y=-24/35, z=2/5

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