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

Solve by cross-multiplication method 8x – 3y = 12, 5x = 2y + 7 - Mathematics

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प्रश्न

Solve by cross-multiplication method

8x – 3y = 12, 5x = 2y + 7

बेरीज

उत्तर

8x – 3y – 12 = 0 → (1)

5x – 2y – 7 = 0 → (2)

Use the coefficients for cross multiplication

`x/(+21 - (+24)) = y/(-60 - (-56)) = 1/(-16 - (-15))`

= `x/(21 - 24) = y/(-60+ 56) = 1/(- 16 + 15)`

`x/(-3) = y/(-4) = 1/(-1)` = – 1

`x/(-3)` = – 1 ⇒ x = 3

`x/(-4)` = – 1 ⇒ x = 4

∴ The value of x = 3 and y = 4

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Methods of Solving Simultaneous Linear Equations by Cross Multiplication Method
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पाठ 3: Algebra - Exercise 3.13 [पृष्ठ १३१]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 3 Algebra
Exercise 3.13 | Q 1. (i) | पृष्ठ १३१
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