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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

Solve by the method of elimination 13x + 11y = 70, 11x + 13y = 74 - Mathematics

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प्रश्न

Solve by the method of elimination

13x + 11y = 70, 11x + 13y = 74

बेरीज

उत्तर

13x + 11y = 70 → (1)

11x + 13y = 74 → (2)

(1) + (2) ⇒ 24x + 24y = 144

x + y = 6 → (3) ...(Divided by 24)

(1) – (2) ⇒ 2x – 2y = – 4

x – y = – 2 → (4) ...(Divided by 2)

(4) + (3) ⇒ 2x = 4

x = `4/2`

= 2

Substitute the value x = 2 in (3)

2 + y = 6

y = 6 – 2

= 4

∴ The value of x = 2 and y = 4

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Methods of Solving Simultaneous Linear Equations by Elimination Method
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पाठ 3: Algebra - Exercise 3.12 [पृष्ठ १२८]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 3 Algebra
Exercise 3.12 | Q 1. (vi) | पृष्ठ १२८
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