मराठी

For Solving Pair of Equation, in this Exercise Use the Method of Elimination by Equating Coefficients : 13x+ 11y = 70 11x + 13y = 74 - Mathematics

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प्रश्न

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74

बेरीज

उत्तर

13x + 11y = 70                        ...(1)
11x + 13y = 74                        ...(2)

Adding (1) and (2)
       13x + 11y = 70
+     11x + 13y = 74 
       24x + 24y = 144  
Dividing by 24,
   x + y = 6                             ....(3)

Subtracting (2) from (1)
       13x + 11y = 70
-     11x + 13y = 74  
       -     -          -       
       2x - 2y = - 4
Dividing by 2
         x - y = - 2                    ....(4)

Adding equation (3) and (4)
        x - y = - 2
   +  x + y = 6  
            2x = 4
              x = 2

From (3)
2 + y = 6
y = 4

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Methods of Solving Simultaneous Linear Equations by Elimination Method - Method of Elimination by Equating Coefficients
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पाठ 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (B) [पृष्ठ ८१]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (B) | Q 9 | पृष्ठ ८१
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