Question

Two systems of equations are shown below:


System A
System B
2x + y = 5
-10x + 19y = -1
-4x + 6y = -2
-4x + 6y = -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.

Answer 1

The value of x for System B will be –5 times the value of x for System A because the coefficient of x in the first equation of System B is –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 –12 to the first equation of System A and the second equations are identical.

Answer 2

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Answer 3

Which is which??

Answer 4

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.