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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Solve the following simultaneous equation. 3a + 5b = 26; a + 5b = 22 - Algebra

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प्रश्न

Solve the following simultaneous equation.

3a + 5b = 26; a + 5b = 22

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उत्तर

3a + 5b = 26         ...(1)
a + 5b = 22          ...(2)

3a + 5b = 26       ...(1)
 a + 5b = 22       ...(2)
−   −       −               
      2a = 4

∴ a = `4/2`

∴ a = 2

Put in equation  ...(1)

3a + 5b = 26

3(2) + 5b = 26

6 + 5b = 26

5b = 26 − 6

5b = 20

∴ b = `20/5`

∴ b = 4

Thus, a = 2, b = 4

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पाठ 1: Linear Equations in Two Variables - Practice Set 1.1 [पृष्ठ ५]

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बालभारती Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
पाठ 1 Linear Equations in Two Variables
Practice Set 1.1 | Q 2.1 | पृष्ठ ५
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