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Solve the Pair of Linear (Simultaneous) Equation by the Method of Elimination by Substitution : Y = 4x - 7 16x - 5y = 25 - Mathematics

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प्रश्न

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
y = 4x - 7
16x - 5y = 25

बेरीज

उत्तर

y = 4x - 7                                      ....(1)
16x - 5y = 25                                ....(2)

y = 4x - 7
Putting this value of y in (2)
∴ 16x - 5 (4x - 7) = 25
∴ 16x - 20x + 35 = 25
∴ - 4x = - 10
∴ x = `5/2`

From (1)
y = `4(5/2) - 7`
⇒ y = 10 - 7
⇒ y = 3
Solution is x = `5/2` and y = 3.

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Methods of Solving Simultaneous Linear Equations by Elimination Method
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (A) [पृष्ठ ७९]

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

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