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…

Question

asked Mar 24, 2017 141k views

2 Answers

Danniella · Answer 1 · 2017-03-26T02:17:22+0000

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.