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Maharashtra State BoardSSC (English Medium) 9th Standard

Solve the following simultaneous equation. 2x - y = 5 ; 3x + 2y = 11 - Algebra

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Question

Solve the following simultaneous equation.

2x - y = 5 ; 3x + 2y = 11 

Sum

Solution

2x - y = 5     ...(I)

3x + 2y = 11    ...(II)

Multiplying (I) with 2 we get

4x - 2y = 10    ...(III)

Adding (II) with (III)

    3x + 2y = 11
+ 4x - 2y = 10
    7x     =    21

⇒ x = 3

Putting the value of x in (I) we get

∴ 2x - y = 5 

⇒ 2 × 3 - y = 5

⇒ 6 - y = 5

⇒ y = 1

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Chapter 5: Linear Equations in Two Variables - Problem Set 5 [Page 91]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q (2) (v) | Page 91
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