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For Solving Pair of Equation, in this Exercise Use the Method of Elimination by Equating Coefficients : 3x - Y = 23 X/3 + Y/4 = 4 - Mathematics

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प्रश्न

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3x - y = 23
`x/3 + y/4 = 4`

योग

उत्तर

3x - y = 23                         ...(1)

`x/3 + y/4 = 4`
4x + 3y = 48                     ...(2)

Multiplying equation no. (1) by 3
9x - 3y = 69                      ....(3)

Adding equation (3) and (2)       
           9x - 3y = 69 
     +   4x + 3y = 48       
                 13x = 117
                     x = 9

From (1)
3(9) - y = 23
∴ 27 - y = 23
∴  y = 27 - 23
∴  y = 4

shaalaa.com
Methods of Solving Simultaneous Linear Equations by Elimination Method - Method of Elimination by Equating Coefficients
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (B) [पृष्ठ ८१]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (B) | Q 2 | पृष्ठ ८१
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