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Solve the following simultaneous equation. x - 2y = -1 ; 2x - y = 7 - Algebra

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प्रश्न

Solve the following simultaneous equation.

x - 2y = -1 ; 2x - y = 7

योग
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उत्तर

x - 2y = -1    ...(I)

2x - y  = 7      ...(II)

Multiply (I) with 2,

2x - 4y = -2     ....(III)

Subtracting (III) from (II)

2x - y  = 7
2x - 4y = -2
-     +         +   
3y = 9

∴ y = 3

Putting the value of y in (I) we get,

∴ x - 2y = -1

⇒  x - 2 × 3 = -1

⇒ x - 6 = -1

⇒ x = -1 + 6

⇒ x = 5

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अध्याय 5: Linear Equations in Two Variables - Problem Set 5 [पृष्ठ ९१]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 5 Linear Equations in Two Variables
Problem Set 5 | Q (2) (ii) | पृष्ठ ९१

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