हिंदी

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

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प्रश्न

Examine the consistency of the system of equations.

2x − y = 5

x + y = 4

योग
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उत्तर

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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अध्याय 4: Determinants - Exercise 4.6 [पृष्ठ १३६]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 4 Determinants
Exercise 4.6 | Q 2 | पृष्ठ १३६
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