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vovangra [49]
3 years ago
7

For the graph shown, select the statement that best represents the given system of equations.

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0
The best answer is <span>inconsistent. </span>
loris [4]3 years ago
3 0

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\neq 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\neq \frac{1}{4}

So, it is the parallel line.

So, it is inconsistent.

Hence, Option 'b' is correct.

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