Which system of equations is consistent and dependent? a. 3x + 2y = 3 6x + 4y = 6 b. 4x + 6y = 2 4x + 6y = 1 c. 2x + 3y = -6 2x + 3y = -12 d. 5x + 4y = -30 3x - 9y = -18

As per definition, a consistent and independent system has exactly one solution and a consistent and dependent system has an infinite number of solutions.

Now, we know that the equations in a dependent system with infinite number of solutions will have a common factor.

A quick glance reveals that the system with linear equations:

.......(Equation 1)

and ...(Equation 2)

has a common factor of 2. This is because (Equation 2) can be obtained by multiplying (Equation 1) by 2.

Thus, this system of equations represents a consistent and dependent.

Therefore, Option A is the correct answer.

stops on an even number.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: