What is x-y+3z-t=5,-2z+t=6,-3t=-12 ?

The solution to x-y+3z-t=5,-2z+t=6,-3t=-12 is t=4,x=y+12,z=-1

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x-y+3z-t=5,-2z+t=6,-3t=-12

x - y + 3 z - t = 5, - 2 z + t = 6, - 3 t = - 12

t = 4, x = y + 12, z = - 1

Solution steps

x - y + 3 z - t = 5 - 2 z + t = 6 - 3 t = - 12

Isolate

t

for

- 3 t = - 12 : t = 4

Substitute

t = 4

[- 2 z + 4 = 6 x - y + 3 z - 4 = 5]

Isolate

z

for

- 2 z + 4 = 6 : z = - 1

Substitute

z = - 1

[x - y + 3 (- 1) - 4 = 5]

Simplify

[x - y - 7 = 5]

Isolate

x

for

x - y - 7 = 5 : x = y + 12

The solutions to the system of equations are:

t = 4, x = y + 12, z = - 1

3 x + 2 y = 6, 2 x + 3 y = 9

3 x - 2 y = 5, - 2 x + 3 y = 0

2 x - 7 y = 7, 3 x + y = 22

5 b = 5, a = 12

y = 16, x = 2

What is x-y+3z-t=5,-2z+t=6,-3t=-12 ?
The solution to x-y+3z-t=5,-2z+t=6,-3t=-12 is t=4,x=y+12,z=-1