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Solve the Pair of Linear (Simultaneous) Equation by the Method of Elimination by Substitution: 2x - 3y = 7 5x + Y= 9 - Mathematics

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प्रश्न

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
2x - 3y = 7
5x + y= 9

योग

उत्तर

2x - 3y = 7                                       ...(1)
5x + y = 9                                        ...(2)

5x + y = 9
∴ y = 9 - 5x                                     ...(3)
Putting this value of y in (1)
2x - 3 (9 - 5x) = 7
∴ 2x - 27 + 15x = 7
∴ 2x + 15x = 7 + 27
∴ 17x = 34
∴ x = 2
From (2)
y = 9 - 5(2) 
y = -1

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Methods of Solving Simultaneous Linear Equations by Elimination Method
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (A) [पृष्ठ ७९]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (A) | Q 2 | पृष्ठ ७९

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