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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

User Proffesor
by
7.5k points

2 Answers

7 votes

Answer: Option 'b' is correct.

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,


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

So, it is the parallel line.

So, it is inconsistent.

Hence, Option 'b' is correct.

User Danniella
by
8.0k points
4 votes
The best answer is inconsistent.
User Joohwan
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7.9k points