Resposta:
a) X = -7/2 Y = 5/2 Z =5
b) X = -13 Y = 9 Z = 4
c) X = 5/2 Y = -1 Z = -5
d) X = 11/2 Y = -1 Z = 2
e) X = 7 Y = 1/2 Z = 1/12
Explicação passo a passo:
I - 3z = 15
z = 15/3
z = 5
II - 2y + 5 = 10
2y = 10 - 5
y = 5 /2
III - x + 5/2 + 5 = 4
[tex]\frac{2x + 5 + 10}{2} = \frac{8}{2}[/tex]
2x + 5 + 10 = 8
2x + 15 = 8
2x = - 7
x = -7/2
I - 2z = 8
z = 8/2
z = 4
II - Y - 4 = 5
Y - 4 = 5
Y = 5 + 4
Y = 9
III - x+ y + z = 0
X + 9 + 4 = 0
X + 13 = 0
X = -13
I - z = -5
II - 5y - z = 0
5y - (-5) = 0
5y + 5 = 0
5y = - 5
y = -1
III - 4x + y + 2z = -1
4x + (-1) + 2*(-5) = - 1
4x - 1 - 10 = -1
4x = 10
x = 5/2
I - 2z = 4
z= 4 /2
z = 2
II - 2y + 2 = 0
2y = - 2
y = -2/2
y = - 1
III - 2x + y - z = 8
2x - 1 - 2 = 8
2x - 3 = 8
2x = 11
x = 11/2
I - 4z = 2
z = 2/4
z = 1/2
II - y - 1/2 = 0
y = 1/2
III - x + y + z = 8
x + 1/2 + 1/2 = 8
x + 1 = 8
x = 7
Espero ter ajudado :)
Bons Estudos!
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Resposta:
a) X = -7/2 Y = 5/2 Z =5
b) X = -13 Y = 9 Z = 4
c) X = 5/2 Y = -1 Z = -5
d) X = 11/2 Y = -1 Z = 2
e) X = 7 Y = 1/2 Z = 1/12
Explicação passo a passo:
a) X = -7/2 Y = 5/2 Z =5
I - 3z = 15
z = 15/3
z = 5
II - 2y + 5 = 10
2y = 10 - 5
y = 5 /2
III - x + 5/2 + 5 = 4
[tex]\frac{2x + 5 + 10}{2} = \frac{8}{2}[/tex]
2x + 5 + 10 = 8
2x + 15 = 8
2x = - 7
x = -7/2
b) X = -13 Y = 9 Z = 4
I - 2z = 8
z = 8/2
z = 4
II - Y - 4 = 5
Y - 4 = 5
Y = 5 + 4
Y = 9
III - x+ y + z = 0
X + 9 + 4 = 0
X + 13 = 0
X = -13
c) X = 5/2 Y = -1 Z = -5
I - z = -5
II - 5y - z = 0
5y - (-5) = 0
5y + 5 = 0
5y = - 5
y = -1
III - 4x + y + 2z = -1
4x + (-1) + 2*(-5) = - 1
4x - 1 - 10 = -1
4x = 10
x = 5/2
d) X = 11/2 Y = -1 Z = 2
I - 2z = 4
z= 4 /2
z = 2
II - 2y + 2 = 0
2y = - 2
y = -2/2
y = - 1
III - 2x + y - z = 8
2x - 1 - 2 = 8
2x - 3 = 8
2x = 11
x = 11/2
e) X = 7 Y = 1/2 Z = 1/12
I - 4z = 2
z = 2/4
z = 1/2
II - y - 1/2 = 0
y = 1/2
III - x + y + z = 8
x + 1/2 + 1/2 = 8
x + 1 = 8
x = 7
Espero ter ajudado :)
Bons Estudos!