rosArankenndafi
Answered

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

Verified Answer :

The best answer is inconsistent. 

Answer: 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,

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

Here,

\(a_1=-1,b_1=2,c_1=2\\\\a_2=1,b_2=-2,c_2=8\)

Now,

\(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{-1}{1}=\frac{2}{-2}=\frac{2}{8}\\\\-1= -1 eq \frac{1}{4}\)

So, it is the parallel line.

So, it is inconsistent.

Hence, Option 'b' is correct.

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