Matemática discreta Exemplos

Resolva Usando uma Matriz por Eliminação 35x+70y+175d+70w=2240 , 40x+40y+80d+70w=1120 , 40x+30y+70d+10w=920 , w=1
, , ,
Etapa 1
Move variables to the left and constant terms to the right.
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Etapa 1.1
Mova .
Etapa 1.2
Mova .
Etapa 1.3
Mova .
Etapa 1.4
Mova .
Etapa 1.5
Mova .
Etapa 1.6
Mova .
Etapa 2
Write the system as a matrix.
Etapa 3
Encontre a forma escalonada reduzida por linhas.
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Etapa 3.1
Multiply each element of by to make the entry at a .
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Etapa 3.1.1
Multiply each element of by to make the entry at a .
Etapa 3.1.2
Simplifique .
Etapa 3.2
Perform the row operation to make the entry at a .
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Etapa 3.2.1
Perform the row operation to make the entry at a .
Etapa 3.2.2
Simplifique .
Etapa 3.3
Perform the row operation to make the entry at a .
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Etapa 3.3.1
Perform the row operation to make the entry at a .
Etapa 3.3.2
Simplifique .
Etapa 3.4
Multiply each element of by to make the entry at a .
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Etapa 3.4.1
Multiply each element of by to make the entry at a .
Etapa 3.4.2
Simplifique .
Etapa 3.5
Perform the row operation to make the entry at a .
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Etapa 3.5.1
Perform the row operation to make the entry at a .
Etapa 3.5.2
Simplifique .
Etapa 3.6
Perform the row operation to make the entry at a .
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Etapa 3.6.1
Perform the row operation to make the entry at a .
Etapa 3.6.2
Simplifique .
Etapa 3.7
Multiply each element of by to make the entry at a .
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Etapa 3.7.1
Multiply each element of by to make the entry at a .
Etapa 3.7.2
Simplifique .
Etapa 3.8
Perform the row operation to make the entry at a .
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Etapa 3.8.1
Perform the row operation to make the entry at a .
Etapa 3.8.2
Simplifique .
Etapa 3.9
Multiply each element of by to make the entry at a .
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Etapa 3.9.1
Multiply each element of by to make the entry at a .
Etapa 3.9.2
Simplifique .
Etapa 3.10
Perform the row operation to make the entry at a .
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Etapa 3.10.1
Perform the row operation to make the entry at a .
Etapa 3.10.2
Simplifique .
Etapa 3.11
Perform the row operation to make the entry at a .
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Etapa 3.11.1
Perform the row operation to make the entry at a .
Etapa 3.11.2
Simplifique .
Etapa 3.12
Perform the row operation to make the entry at a .
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Etapa 3.12.1
Perform the row operation to make the entry at a .
Etapa 3.12.2
Simplifique .
Etapa 3.13
Perform the row operation to make the entry at a .
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Etapa 3.13.1
Perform the row operation to make the entry at a .
Etapa 3.13.2
Simplifique .
Etapa 3.14
Perform the row operation to make the entry at a .
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Etapa 3.14.1
Perform the row operation to make the entry at a .
Etapa 3.14.2
Simplifique .
Etapa 3.15
Perform the row operation to make the entry at a .
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Etapa 3.15.1
Perform the row operation to make the entry at a .
Etapa 3.15.2
Simplifique .
Etapa 4
Use the result matrix to declare the final solution to the system of equations.
Etapa 5
The solution is the set of ordered pairs that make the system true.