Matemática discreta Ejemplos

Solve Using a Matrix by Row Operations 2x+6x+15x=-12 , 4x+7x+13x=-10 , 3x+6x+12x=-9
, ,
Paso 1
Move variables to the left and constant terms to the right.
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Paso 1.1
Suma y .
Paso 1.2
Suma y .
Paso 1.3
Suma y .
Paso 1.4
Suma y .
Paso 1.5
Suma y .
Paso 1.6
Suma y .
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
Perform the row operation to make the entry at a .
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Paso 3.3.1
Perform the row operation to make the entry at a .
Paso 3.3.2
Simplifica .
Paso 3.4
Multiply each element of by to make the entry at a .
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Paso 3.4.1
Multiply each element of by to make the entry at a .
Paso 3.4.2
Simplifica .
Paso 3.5
Perform the row operation to make the entry at a .
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Paso 3.5.1
Perform the row operation 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 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.