What is x-3y+z=4,-x+2y-5z=3,5x-13y+13z=8 ?

The solution to x-3y+z=4,-x+2y-5z=3,5x-13y+13z=8 is No Solution

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x-3y+z=4,-x+2y-5z=3,5x-13y+13z=8

x - 3 y + z = 4, - x + 2 y - 5 z = 3, 5 x - 13 y + 13 z = 8

No Solution

Solution steps

x - 3 y + z = 4 - x + 2 y - 5 z = 3 5 x - 13 y + 13 z = 8

Isolate

x

for

x - 3 y + z = 4 : x = 4 + 3 y - z

Substitute

x = 4 + 3 y - z

[- (4 + 3 y - z) + 2 y - 5 z = 3 5 (4 + 3 y - z) - 13 y + 13 z = 8]

Simplify

[- y - 4 z - 4 = 3 2 y + 8 z + 20 = 8]

Isolate

y

for

- y - 4 z - 4 = 3 : y = - 4 z - 7

Substitute

y = - 4 z - 7

[2 (- 4 z - 7) + 8 z + 20 = 8]

Simplify

[6 = 8]

6 = 8

is false, therefore the system of equations has no solution

No Solution

2 x + 3 y + 4 z = 7, 4 y = 2 + 5 z, 3 z - 2 x + 6 = 0

x + 3 y = 1, 4 x - y = 17

x + y = 14, x - y = 4

2 x - y = 2, 4 x - 4 y = 6

x + y + z = 1, 6 x - y + z = 0, - 9 y + 9 z = - 27

What is x-3y+z=4,-x+2y-5z=3,5x-13y+13z=8 ?
The solution to x-3y+z=4,-x+2y-5z=3,5x-13y+13z=8 is No Solution