Álgebra lineal Ejemplos

Solve Using a Matrix by Elimination x-9=y , x+y=6
,
Paso 1
Move variables to the left and constant terms to the right.
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Paso 1.1
Resta de ambos lados de la ecuación.
Paso 1.2
Suma a ambos lados de la ecuación.
Paso 2
Write the system as a matrix.
Paso 3
Obtén la forma escalonada reducida por filas.
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Paso 3.1
Perform the row operation to make the entry at a .
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Paso 3.1.1
Perform the row operation to make the entry at a .
Paso 3.1.2
Simplifica .
Paso 3.2
Multiply each element of by to make the entry at a .
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Paso 3.2.1
Multiply each element of by 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 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.