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Examine the consistency of the system of equations. 2x − y = 5 x + y = 4 - Mathematics

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प्रश्न

Examine the consistency of the system of equations.

2x − y = 5

x + y = 4

योग

उत्तर

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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अध्याय 4: Determinants - Exercise 4.6 [पृष्ठ १३६]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 4 Determinants
Exercise 4.6 | Q 2 | पृष्ठ १३६

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