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?

a. 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.

b. 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.

c. 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.

d. 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 1

d should be your answer

Answer 2

The Answer is B.

"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."