Question

3x-2y=0
3y-4z=25
-5x+z=-14

Answer 1

3(3x-2y = 0)
2(3y-4z = 25)
8(-5x+z = -14)

9x - 6y = 0
6y - 8z = 50
-40x + 8z = -112
Sumando:
9x + (-40x) + (-6y) + 6y + (-8z) + 8z = 0 + 50 + (-112)
9x - 40x - 6y + 6y - 8z + 8z = 50 - 112
-31x = -62
x = -62/-31
x = 2

Luego:
3x - 2y = 0
3(2) - 2y = 0
6 - 2y = 0
6 = 2y
6/2 = y
3 = y
y = 3

3y - 4z = 25
3(3) - 4z = 25
9 - 25 = 4z
-16 = 4z
-16/4 = z
-4 = z
z = -4

Por lo tanto:
x = 2
y = 3
z = -4

Answer 2

Respuesta:

3(3x-2y = 0)

2(3y-4z = 25)

8(-5x+z = -14)

9x - 6y = 0

6y - 8z = 50

-40x + 8z = -112

Sumando:

9x + (-40x) + (-6y) + 6y + (-8z) + 8z = 0 + 50 + (-112)

9x - 40x - 6y + 6y - 8z + 8z = 50 - 112

-31x = -62

x = -62/-31

x = 2

Luego:

3x - 2y = 0

3(2) - 2y = 0

6 - 2y = 0

6 = 2y

6/2 = y

3 = y

y = 3

3y - 4z = 25

3(3) - 4z = 25

9 - 25 = 4z

-16 = 4z

-16/4 = z

-4 = z

z = -4

Por lo tanto:

x = 2

y = 3

z = -4

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