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Solve the following simultaneous equation. x + y = 11 ; 2x - 3y = 7 - Algebra

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प्रश्न

Solve the following simultaneous equation.

x + y = 11 ; 2x - 3y = 7 

योग

उत्तर

x + y = 11     ...(I)

2x - 3y  = 7     ...(II)

Multiply (I) with 3

3x + 3y = 33      ...(III)

Adding (II) and (III)

2x - 3y = 7
3x + 3y = 33
+                  
5x = 40

x = `40/5`

⇒ x = 8

Putting the value of x in (I)

8 + y = 11

y = 11 - 8

⇒  y = 3 

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

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