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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. Choose.

Sagot :

System of equations helps us to compare two different situations. The system is  Independent Consistent System.

What is System of equation?

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = 4x - 4

y = -4x + 4

As we have the two equations, substitute the value of y of both the equations,

4x - 4 = -4x + 4

8x = 8

x = 1

We have the value of x as 1, substitute the value of x in the equation of y,

y = 4(1) - 4

y = 0

Since the two equations have a unique solution, therefore, the system is Independent Consistent System.

Learn more about System of equation:

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