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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.

Brook states that the distance on the line is 4 units. caleb states that the whole line does not have a distance because it continues on forever. vivian states that the line is 6 units long. which distance did brook measure? which distance did vivian measure?

Find the slope and the y-intercept if there's one and the equation of the line given these two points( 3, 2) and( 3, -4)

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24