Solve the system of equations: x+4y-z=6 2x+11y+4z=9 x+5y+z=5

Dimitar Genov asked Jan 3, 2023

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14 votes

Solve the system of equations:
x+4y-z=6
2x+11y+4z=9
x+5y+z=5

Dimitar Genov asked Jan 3, 2023

2.8k points

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12 votes

Answer: x=1, y=1, z=-1

Explanation:

From the first and 3rd equation, 2x+9y=11.

The first equation is also 4x+16y-4z=24, so add that to the second equation, and you get 6x+27y=33.

Solving, we get x=1 and y=1, meaning that z=-1.

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