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Matemática discreta Exemplos
3x-4y=-123x−4y=−12 , 6x-8y=-96x−8y=−9
Etapa 1
Write the system as a matrix.
[3-4-126-8-9][3−4−126−8−9]
Etapa 2
Etapa 2.1
Multiply each element of R1R1 by 1313 to make the entry at 1,11,1 a 11.
Etapa 2.1.1
Multiply each element of R1R1 by 1313 to make the entry at 1,11,1 a 11.
[33-43-1236-8-9][33−43−1236−8−9]
Etapa 2.1.2
Simplifique R1.
[1-43-46-8-9]
[1-43-46-8-9]
Etapa 2.2
Perform the row operation R2=R2-6R1 to make the entry at 2,1 a 0.
Etapa 2.2.1
Perform the row operation R2=R2-6R1 to make the entry at 2,1 a 0.
[1-43-46-6⋅1-8-6(-43)-9-6⋅-4]
Etapa 2.2.2
Simplifique R2.
[1-43-40015]
[1-43-40015]
Etapa 2.3
Multiply each element of R2 by 115 to make the entry at 2,3 a 1.
Etapa 2.3.1
Multiply each element of R2 by 115 to make the entry at 2,3 a 1.
[1-43-40150151515]
Etapa 2.3.2
Simplifique R2.
[1-43-4001]
[1-43-4001]
Etapa 2.4
Perform the row operation R1=R1+4R2 to make the entry at 1,3 a 0.
Etapa 2.4.1
Perform the row operation R1=R1+4R2 to make the entry at 1,3 a 0.
[1+4⋅0-43+4⋅0-4+4⋅1001]
Etapa 2.4.2
Simplifique R1.
[1-430001]
[1-430001]
[1-430001]
Etapa 3
Use the result matrix to declare the final solution to the system of equations.
x-43y=0
0=1
Etapa 4
The system is inconsistent so there is no solution.
Nenhuma solução