Two systems of equations are shown below: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? (5 points) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.

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

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.

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 −4 to the first equation of System A and the second equations are identical.

System A:

6x + y = 2

-x - y = -3

System B:

2x - 3y = -10

-x-y = -3

Solve:

System A:

6x + y = 2

y = 2 - 6x

-x - (2-6x) = -3

-x - 2 + 6x = -3

5x = -3 + 2

5x = -1

x = -1/5

y = 2 - 6(-1/5)

y = 2 + 6/5

y = 2 + 1.2

y = 3.2     System A: x = -1/5 or -0.2  ; y = 3 1/5 or 3.2

System B:

2x - 3y = -10

2x = -10 + 3y

x = -5 + 1.5y

-x - y = -3

-(-5 + 1.5y) -y = -3

5 - 1.5y - y = -3

-2.5y = -3 - 5

-2.5y = -8

y = 3.2

x = -5 + 1.5(3.2)

x = -5 + 4.8

x = -0.2   System B: x = -0.2 ; y = 3.2

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

Hope this helps!! :D

B.

Step-by-step explanation:

 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.

Step-by-step explanation:

Each of the first two answer choices suggests that the first equation of system A was added to something to get the first equation of system B. We can subtract the first equation of system A from that of system B to see what was added exactly:

 (-10x +19y) -(2x +y) = (-1) -(5)

 -12x +18y = -6

The coefficients of this equation are 3 times those of the second equation of either system, so choice B is an appropriate description.

were is the equation

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