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