2 x 2 system or linear equations that is inconsistent or consistent dependent

label Algebra
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Nov 21st, 2015

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-x - 4y = -8 ---(1)

x + 4y = 8 ---(2)

Multiply equation (1) by -1

x + 4y = 8


So both equations represent the same line and all the points on the line is a solution.

Hence the system of equations has infinitely many solutions.

They must satisfy y = (8 - x)/4

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x + 2y + 2 = 0 ---(1)

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


From equation (1)

2y = -x - 2



From equation (2)

-2y = x - 2



So both equations have the same slope of -1/2 and different y intercepts which means they are parallel lines.

Hence, the system of equations has no solution.

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 21st, 2015

I am told that both answers are wrong

Nov 21st, 2015

Hi,

can you recheck your answer I have been told that both parts are wrong


Nov 21st, 2015

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