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nadezda [96]
3 years ago
12

I need help on this.

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

(-3, 4, 6)

Step-by-step explanation:

-3x-4y+z=-1  equation 1

2x+y-z=-8  equation 2

x+8y-z=23  equation 2

Add equation 1  and 2

-3x-4y+z=-1  

2x+y-z=-8  

-----------------------

-x -3y = -9   equation 4

Add equation 1 and 3

-3x-4y+z=-1    

x+8y-z=23  

--------------------

-2x + 4y = 22   equation 5

multiply equation 4 by -2

2x + 6y = 18

Now add it with equation 5

2x + 6y = 18

-2x + 4y = 22

-----------------------

        10y = 40

divide by 10 on both sides

y = 4

Plug in y = 4 in equation 4  

-x -3y = -9

-x - 3(4) = -9

-x -12 = -9

add 12 on both sides

-x = 3

x=-3

plug in x=-3 and y =4 in any one of the original equation

-3x-4y+z=-1  equation 1

-3(-3) -4(4) +z= -1

9 -16 +z=-1

-7 + z= -1

add 7 on both sides

z = 6



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