Question

Two systems of equations are shown below: System A 6x + y = 2 −x − y = −3 System B 2x − 3y = −10 −x − y = −3 Which of the following statements is correct about the two systems of equations?

Answer 1

Given:

Two systems of equations are shown below: System A 6x + y = 2 −x − y = −3 System B 2x − 3y = −10 −x − y = −3

To find:

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

Solution:

From given, we have,

System A 6x + y = 2 −x − y = −3

System B 2x − 3y = −10 −x − y = −3

Upon solving equations of both the systems, we obtain the same value of x and y.

They are:

x = -1/5 and y = 16/5

They will have the same solution because the first equations of both the systems have the same graph.

Answer 2

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.