Question

Medals. :)

Answer 1

Two systems of equations are shown below:


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


Which of the following statements is correct about the two systems of equations?

Answer 2

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 3

Lets attempt to solve each, so that we can choose the best option.

Answer 4

Okay. :]

Answer 5

Can you solve the first system?

Answer 6

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

I'm not quite sure how.... :/

Answer 7

\(\large\color{black}{2x + y = 5 }\)
\(\large\color{black}{-4x+6y=-2 }\)
I would advise you (when solving system A) to divide everything in second equation by 2, I mean each term by 2 (yes you can do that), and then add the equations.

This will eliminate the x.

Answer 8

For that first one?