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Examine the consistency of the system of equations

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asked Jan 16, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 947
edited Mar 6, 2018 by Vikash Kumar
Examine the consistency of the system of equations.

2x − y = 5 x
x+ y = 4

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answered Jan 16, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
edited Mar 6, 2018 by Vikash Kumar
 
Best answer

The given system of equations is:

2x − y = 5 x
x+ y = 4

The given system of equations can be written in the form of AX = B, where

Therefore, A−1 exists.
Hence, the given system of equations is consistent.

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