Matemática discreta Ejemplos

Solve Using a Matrix by Elimination 3x+2y=14 , x-4y=-14
,
Paso 1
Write the system as a matrix.
Paso 2
Obtén la forma escalonada reducida por filas.
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Paso 2.1
Multiply each element of by to make the entry at a .
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Paso 2.1.1
Multiply each element of by to make the entry at a .
Paso 2.1.2
Simplifica .
Paso 2.2
Perform the row operation to make the entry at a .
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Paso 2.2.1
Perform the row operation to make the entry at a .
Paso 2.2.2
Simplifica .
Paso 2.3
Multiply each element of by to make the entry at a .
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Paso 2.3.1
Multiply each element of by to make the entry at a .
Paso 2.3.2
Simplifica .
Paso 2.4
Perform the row operation to make the entry at a .
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Paso 2.4.1
Perform the row operation to make the entry at a .
Paso 2.4.2
Simplifica .
Paso 3
Use the result matrix to declare the final solution to the system of equations.
Paso 4
The solution is the set of ordered pairs that make the system true.