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Matemática discreta Exemplos
x+y=4x+y=4 , x-y=2
Etapa 1
Write the system as a matrix.
[1141-12]
Etapa 2
Etapa 2.1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
Etapa 2.1.1
Perform the row operation R2=R2-R1 to make the entry at 2,1 a 0.
[1141-1-1-12-4]
Etapa 2.1.2
Simplifique R2.
[1140-2-2]
[1140-2-2]
Etapa 2.2
Multiply each element of R2 by -12 to make the entry at 2,2 a 1.
Etapa 2.2.1
Multiply each element of R2 by -12 to make the entry at 2,2 a 1.
[114-12⋅0-12⋅-2-12⋅-2]
Etapa 2.2.2
Simplifique R2.
[114011]
[114011]
Etapa 2.3
Perform the row operation R1=R1-R2 to make the entry at 1,2 a 0.
Etapa 2.3.1
Perform the row operation R1=R1-R2 to make the entry at 1,2 a 0.
[1-01-14-1011]
Etapa 2.3.2
Simplifique R1.
[103011]
[103011]
[103011]
Etapa 3
Use the result matrix to declare the final solution to the system of equations.
x=3
y=1
Etapa 4
The solution is the set of ordered pairs that make the system true.
(3,1)