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Solve the Pair of Linear (Simultaneous) Equation by the Method of Elimination by Substitution: 2x + 3y = 8 2x = 2 + 3y - Mathematics

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प्रश्न

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 3y = 8
2x = 2 + 3y

योग

उत्तर

2x + 3y = 8                                       ...(1)
2x = 2 + 3y                                       ...(2)

2x = 2 + 3y
Putting this value of 2x in (1)
2 + 3y + 3y = 8
∴ 6y = 8 - 2
∴ 6y = 6
∴ y = 1

From (2) 2x = 2 + 3(1)
x = `5/2`
x = 2.5

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Methods of Solving Simultaneous Linear Equations by Elimination Method
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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 3 | पृष्ठ ७९

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