Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4 y=−4x+4 Select the correct answer from the drop-down menu.

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Numenius Numenius · Answer 1 · 2018-07-31T05:40:03+02:00

If a system has exactly one or infinite number of solutions then it will be a consistent system.

So, we can solve the given system of equation to get the answer.

y=4x−4 ................(1)

y=−4x+4...............(2)

After equating both the equations we will get,

4x-4= -4x+4

4x-4+4x=4 (Adding 4x to each sides).

8x-4=4

8x=4+4 (Adding 4 to each sides).

8x=8

8x/8=8/8 ( Dividing each sides by 8).

x=1

Now pluging x=1 in equation (1). So,

y=4x−4

=4(1)-4

=4-4

=0

Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).

So, the given system is consistent and coincident.

XoRen XoRen · Answer 2 · 2021-03-23T17:53:53+01:00

Answer:

The answer is " Consistent And Independent"

Why? :

When 2 Lines intersect at one point it means it Consistent and Independent

and When the Lines are the same exact thing its Consistent and Dependent

But, when 2 lines don't intersect at all its inconsistent. :)

I also Took The 5.11 Unit Test :)

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