system a

system b

3x + 2y = 3

−x − 14y = 1

−2x − 8y = −1

−2x − 8y = −1

which of the following statements is correct about the two systems of equations

a

the value of x for system b will be one-third of the value of x for system a because the coefficient of x in the first equation of system b is one-third times the coefficient of x in the first equation of system a.

b

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 equation are identical.

c

they will have the same solution because they represent the same lines when plotted on the coordinate axes.

d

they will have the same solution 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.