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For Solving Pair of Equation, in this Exercise Use the Method of Elimination by Equating Coefficients : 13 + 2y = 9x 3y = 7x - Mathematics

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Question

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x

 

Sum

Solution

13 + 2y = 9x                                  ...(1)
3y = 7x                                          ...(2)

Multiplying equation no. (1) by 3 and (2) by 2, we get,
          39 + 6y = 27x                     ...(1)
+                6y = 14x                     ...(2)
        -      -         -        
                   39 = 13x
                     x = 3

From (2)
3y = 7x
∴ 3y = 7(3)
∴ y = `21/3` = 7

shaalaa.com
Methods of Solving Simultaneous Linear Equations by Elimination Method - Method of Elimination by Equating Coefficients
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Chapter 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (B) [Page 81]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (B) | Q 1 | Page 81
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