Two systems of equations are shown below: System A System B 2x + y = 5 βˆ’10x + 19y = βˆ’1 βˆ’4x + 6y = βˆ’2 βˆ’4x + 6y = βˆ’2 Which of the following statements is correct about the two systems of equations? They will have the same solutions because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A. The value of x for System B will be βˆ’5 times the value of x for System A because the coefficient of x in the first equation of System B is βˆ’5 times the coefficient of x in the first equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding βˆ’12 to the first equation of System A and the second equations are identical.

Respuesta :

Answer:

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

Step-by-step explanation:

System A

2x + y = 5 --> (1)

βˆ’4x + 6y = βˆ’2 --> (2)

(1) + 3Γ—(2)

-10x + 19y = -1

System B

βˆ’10x + 19y = βˆ’1 --> (1)

-4x + 6y = βˆ’2 --> (2)

Answer:

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

Step-by-step explanation:

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