For the graph shown, select the statement that best represents the given system of equations.
2y – x = 2
x – 2y = 8
a.
consistent and independent
b.
inconsistent
c.
coincident
d.
not enough information

Option 'b' is correct.

Step-by-step explanation:

Since we have given that

2y-x=2

⇒2y=2+x

⇒2y-2=x--------------(1)

x-2y=8 --------------------(2)

Put the eq(1) in eq(2), we get that,

Here,

Now,

So, it is the parallel line.

So, it is inconsistent.

Hence, Option 'b' is correct.

-2 is the right

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x