Question

Two systems of equations are shown below:

System A
2x + y = 5
-4x + 6y = -2

System B
-10x + 19y = -1
-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

well carry out the instructions in each of the options to see which one fits
eg try option 1:
2 times 2nd equation in system A =

-8x + 12y = -4
add the first equation in system A

-8x + 12y = -4
+ 2x + y = 5
= -6x + 13y = 1 which is not the first equation in System B

so option 1 is not correct