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Question
Examine the consistency of the system of equations.
2x − y = 5
x + y = 4
Solution
2x - y = 5
x + y = 4
`=> [(2,-1),(1,1)][(x),(y)] = [(5),(4)]`
`=> AX = B`
Now `abs A = abs ((2,-1),(1,1))`
`= 2 + 1`
`= 3 ne 0`
Hence, system of equations is consistent.
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