Need algebra help with a 2x2 system of linear equations that is inconsistent or consistent dependent

label Algebra
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Nov 19th, 2015

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

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


Multiply equation (2) 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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Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 19th, 2015

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

x + 4y + 4 = 0 ---(2)


Multiply both sides of equation (1) by -1

x + 4y = 4

4y = - x + 4



From equation (2)

x + 4y = -4

4y = -x - 4



Both equations have the same slope of -1/4 which means they are parallel.

Hence, the system of equations has no solution.

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Nov 19th, 2015

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