Odpowiedź:
W = det [tex]\left[\begin{array}{ccc}3&6&7\\4&-5&-4\\3&-60&0\end{array}\right][/tex] = - 72 - 1680 - ( - 105 + 720 ) = - 2 367
Wx = det [tex]\left[\begin{array}{ccc}3&6&7\\0&-5&-4\\3&-60&0\end{array}\right][/tex] = - 72 - ( - 105 + 720) = - 687
więc
x = Wx : W = - 687 : ( - 2 367)= [tex]\frac{229}{768}[/tex]
=================================
3*[tex]\frac{229}{789} - 60 y = 3[/tex]
[tex]\frac{687}{789} + 60 y = 3[/tex]
60 y = [tex]\frac{2367}{789}[/tex] - [tex]\frac{687}{789} =\frac{1680}{789}[/tex] / : 60
y = [tex]\frac{28}{789}[/tex]
========
4 z = 4 x - 5 y = 4*[tex]\frac{229}{789} - 5*[/tex][tex]\frac{28}{789}[/tex] = [tex]\frac{916}{789} - \frac{140}{789} = \frac{776}{789}[/tex] / : 4
z = [tex]\frac{194}{789}[/tex]
===========
Szczegółowe wyjaśnienie:
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Odpowiedź:
W = det [tex]\left[\begin{array}{ccc}3&6&7\\4&-5&-4\\3&-60&0\end{array}\right][/tex] = - 72 - 1680 - ( - 105 + 720 ) = - 2 367
Wx = det [tex]\left[\begin{array}{ccc}3&6&7\\0&-5&-4\\3&-60&0\end{array}\right][/tex] = - 72 - ( - 105 + 720) = - 687
więc
x = Wx : W = - 687 : ( - 2 367)= [tex]\frac{229}{768}[/tex]
=================================
3*[tex]\frac{229}{789} - 60 y = 3[/tex]
[tex]\frac{687}{789} + 60 y = 3[/tex]
60 y = [tex]\frac{2367}{789}[/tex] - [tex]\frac{687}{789} =\frac{1680}{789}[/tex] / : 60
y = [tex]\frac{28}{789}[/tex]
========
4 z = 4 x - 5 y = 4*[tex]\frac{229}{789} - 5*[/tex][tex]\frac{28}{789}[/tex] = [tex]\frac{916}{789} - \frac{140}{789} = \frac{776}{789}[/tex] / : 4
z = [tex]\frac{194}{789}[/tex]
===========
Szczegółowe wyjaśnienie: