Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the cor

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S_A_V [24] · Answer 1 · 2023-02-15T19:02:28+03:00

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

<h2>System of the equation,</h2>

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

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

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

<h2>System of the equation,</h2>

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

On adding both the equation,

$\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0$

Substitute y = 0 to evaluate the value of x.

$\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1$

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

To know more about the System of equations click the link given below.