Matemática discreta Ejemplos

Solve Using a Matrix by Row Operations -4x-y+7z=9 , 8y+6z=-6 , 4x+2y+6z=1-22
, ,
Paso 1
Resta de .
Paso 2
Write the system as a matrix.
Paso 3
Obtén la forma escalonada reducida por filas.
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Paso 3.1
Multiply each element of by to make the entry at a .
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Paso 3.1.1
Multiply each element of by to make the entry at a .
Paso 3.1.2
Simplifica .
Paso 3.2
Perform the row operation to make the entry at a .
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Paso 3.2.1
Perform the row operation to make the entry at a .
Paso 3.2.2
Simplifica .
Paso 3.3
Multiply each element of by to make the entry at a .
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Paso 3.3.1
Multiply each element of by to make the entry at a .
Paso 3.3.2
Simplifica .
Paso 3.4
Perform the row operation to make the entry at a .
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Paso 3.4.1
Perform the row operation to make the entry at a .
Paso 3.4.2
Simplifica .
Paso 3.5
Multiply each element of by to make the entry at a .
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Paso 3.5.1
Multiply each element of by to make the entry at a .
Paso 3.5.2
Simplifica .
Paso 3.6
Perform the row operation to make the entry at a .
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Paso 3.6.1
Perform the row operation to make the entry at a .
Paso 3.6.2
Simplifica .
Paso 3.7
Perform the row operation to make the entry at a .
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Paso 3.7.1
Perform the row operation to make the entry at a .
Paso 3.7.2
Simplifica .
Paso 3.8
Perform the row operation to make the entry at a .
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Paso 3.8.1
Perform the row operation to make the entry at a .
Paso 3.8.2
Simplifica .
Paso 4
Use the result matrix to declare the final solution to the system of equations.
Paso 5
The solution is the set of ordered pairs that make the system true.