What is x-2y-3z+5s-2t=4,2z-6s+3t=2,5t=10 ?

The solution to x-2y-3z+5s-2t=4,2z-6s+3t=2,5t=10 is t=2,x=2y+4s+2,z=3s-2

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x-2y-3z+5s-2t=4,2z-6s+3t=2,5t=10

x - 2 y - 3 z + 5 s - 2 t = 4, 2 z - 6 s + 3 t = 2, 5 t = 10

t = 2, x = 2 y + 4 s + 2, z = 3 s - 2

Solution steps

x - 2 y - 3 z + 5 s - 2 t = 4 2 z - 6 s + 3 t = 2 5 t = 10

Isolate

t

for

5 t = 10 : t = 2

Substitute

t = 2

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

Simplify

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

Isolate

z

for

2 z - 6 s + 6 = 2 : z = 3 s - 2

Substitute

z = 3 s - 2

[x - 2 y - 3 (3 s - 2) + 5 s - 4 = 4]

Simplify

[x + 2 - 2 y - 4 s = 4]

Isolate

x

for

x + 2 - 2 y - 4 s = 4 : x = 2 y + 4 s + 2

Expressing

z

in terms of

s

z = 3 s - 2

The solutions to the system of equations are:

t = 2, x = 2 y + 4 s + 2, z = 3 s - 2

3 x + 4 y + 5 = 0, y = x + 4

5 b = 2, a = 1, c = 1

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

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

What is x-2y-3z+5s-2t=4,2z-6s+3t=2,5t=10 ?
The solution to x-2y-3z+5s-2t=4,2z-6s+3t=2,5t=10 is t=2,x=2y+4s+2,z=3s-2