Question

Which of the following describes the system of equations 2x - y + 4 = 0 and 4x - 2y + 7 = 0?


A.



inconsistent


B.



consistent and dependent


C.



consistent and independent


D.



none of these

Answer 1

How do you plan to solve it? I might be tempted t omultiply the first equation by 2 and then add the two equations.

Answer 2

how do you know which one it is?

Answer 3

I don't until I have run various tests and observed various properties.

My inclination is to SOLVE the system.

If I get x = 34 and y = 12, then I raise my hand and say "consistent and independent":
If I get 3 = 2, then I raise my hand and say "inconsistent":
If I get 4 = 4, then I raise my hand and say "consistent and dependent".

Note: I made up these numbers. You must solve the system.