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

Solve, using the method of substitution 2x – 3y = 7, 5x + y = 9 - Mathematics

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प्रश्न

Solve, using the method of substitution

2x – 3y = 7, 5x + y = 9

आलेख

उत्तर

2x – 3y = 7 → (1)

5x + y = 9 → (2)

Equation (2) becomes

y = 9 – 5x

Substitute the value of y in (1)

2x – 3(9 – 5x) = 7

2x – 27 + 15x = 7

17x = 7 + 27

17x = 34

x = `34/17`

= 2

Substitute the value of x = 2 (in) (2)

y = 9 – 5(2) = 9 – 10 = – 1

∴ The value of x = 2 and y = – 1

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Methods of Solving Simultaneous Linear Equations by Substitution
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पाठ 3: Algebra - Exercise 3.11 [पृष्ठ १२६]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 3 Algebra
Exercise 3.11 | Q 1. (i) | पृष्ठ १२६
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