Two systems of equations are shown below.
System A System B
6x+y=2 2x−3y=−10
−x−y=−3
−x−y=−3
Which of the following statements is correct about the two systems of equations?
(1 point)
Responses
The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.
The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than 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 −4
to the first equation of System A and the second equations are identical.
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 negative 4 to the first equation of System A and the second equations are identical.
They will have the same solution because the first equation of both the systems have the same graph.
They will have the same solution because the first equation of both the systems have the same graph.
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 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 4 times the second equation of System A.
The correct statement about the two systems of equations is:
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.