What is x+y+z=6,2x-y+2z=6,x+y+z=-5 ?

The solution to x+y+z=6,2x-y+2z=6,x+y+z=-5 is No Solution

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x+y+z=6,2x-y+2z=6,x+y+z=-5

x + y + z = 6, 2 x - y + 2 z = 6, x + y + z = - 5

No Solution

Solution steps

x + y + z = 6 2 x - y + 2 z = 6 x + y + z = - 5

Isolate

x

for

x + y + z = 6 : x = 6 - y - z

Substitute

x = 6 - y - z

[2 (6 - y - z) - y + 2 z = 6 6 - y - z + y + z = - 5]

Simplify

[- 3 y + 12 = 6 6 = - 5]

6 = - 5

is false, therefore the system of equations has no solution

No Solution

5 x + 2 y = 23, 3 x + 3 y = 21

5 x + 8 y = 1, 7 - 4 x + 7 y = 16

47 x + 53 y = 147, 53 x + 47 y = 53

x + 5 y = - 3, 3 x - y = - 4

x + y = 7, - x + y = 1

What is x+y+z=6,2x-y+2z=6,x+y+z=-5 ?
The solution to x+y+z=6,2x-y+2z=6,x+y+z=-5 is No Solution