Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4x−4y=−4x+4 Select the correct answer from the drop-down menu. (a) consistent…

Question

asked Dec 4, 2021 140k views

1 Answer

Simion Agavriloaei · Answer 1 · 2021-12-10T17:50:22+0000

Answer:

Explanation:

The given system is

$y=4x-4\\y=-4x+4$

If we sum these equations, we would have

$2y=0\\y=0$

Then, we use this value to find the other

$y=4x-4\\0=4x-4\\4=4x\\x=1$

So, the system has a unique solution of
(1,0) .

Now, when a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

Therefore, the given system is consistent and dependent.