The system of equations is consistent and dependent and it can be determined by using the properties of the equation.
Given that,
[tex]\rm y=4x-4\\y=-4x+4[/tex]
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.
[tex]\rm y=4x-4\\y=-4x+4[/tex]
On adding both the equation,
[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]
Substitute y = 0 to evaluate the value of x.
[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]
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.
https://brainly.com/question/12895249
