Question

On your own paper graph each system of equations and then describe it:

y=x+4
Y= -x-4
Select one:
a. inconsistent
b. consistent and dependent
C. consistent and independent
d. can not be determined​

Answer 1

The system of equations is consistent and independent

Explanation:

Given system of equations :

`y=x+4\\y= -x-4`

Consistent : For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.

Inconsistent :If the system of equations is not consistent then it is inconsistent.

Dependent:A dependent system of equations has infinite solutions

Independent :An independent system has a single solution.

Plot the lines on graph

y=x+4 --- Blue line

y=-x+4 ---- Green line

Refer the attached graph

The lines formed by the equations intersect at one point

So the lines are consistent

Now the given system of equations has single solution . So, it is independent

So, Option C is true

Hence The system of equations is consistent and independent