RBSE Solutions for Class 7 Maths Chapter 14 सरल समीकरण In Text Exercise

RBSE Solutions for Class 7 Maths Chapter 14 सरल समीकरण In Text Exercise is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 14 सरल समीकरण In Text Exercise.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 7
Subject Maths
Chapter Chapter 14
Chapter Name सरल समीकरण
Exercise In Text Exercise
Number of Questions 2
Category RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 14 सरल समीकरण In Text Exercise

करो और सीखो

(पृष्ठ 155)
प्रश्न 1
रिक्त स्थानों की पूर्ति कीजिए।
तुला विधि
7x + 6 = 34
7x + 6 – …… = 34 – …….
7x = …..
x = …….

पक्षांतरण विधि
7x + 6 = 34
7x = 34 -….
x = \(\frac { ……… }{ 7 }\)
x = 4
उत्तर की जाँच
LHS = 7x +6
= 7 x ….. + 6
= …… + 6 = RHS
हल:
तुला विधि
7x + 6 = 34
7x + 6 – 6 = 34 – 6
7x = 28
x = 4

RBSE Solutions

पक्षांतरण विधि
7x + 6 = 34
7x = 34 – 6
x = \(\frac { 28 }{ 7 }\)
x = 4

उत्तर की जाँच
LHS = 7x + 6
= 7 x 4 + 6
= 28 + 6 = 34 = RHS

RBSE Solutions

प्रश्न 2
सही/गलत बताइए।
(i) 4x +x – 13 = 7 में x = 4 सही/गलत
(ii) 3x – 8 = 25 में x = 12 सही/गलत
(iii) 7x – 5 = 3x +7 में x=3 सी/गलत
(iv) 5x – 7 = 4+1 में r = 5 सही/गलत
हल:
(i) 4x + x – 13 = 7 में x = 4 रखने पर
L.H.S. = 4x + x – 13 = 5x – 13
= 5 x 4 – 13
= 20 – 13 = 7 = RHS
अत: 4x + x -13 = 7 में x = 4 सही है।

RBSE Solutions

(ii) 3x – 8 = 25 में x = 12
LHS = 3 – 8
= 3 x 12 – 8
= 36 – 8 = 28 ≠ RHS
अतः 3x – 8 = 25 में x = 12 गलत है।

(iii) 7x – 5 = 3x +7 में x = 3 रखने पर
7x – 5 = 3x +7
7 x 3 – 5 = 3 x 3 + 7
21 – 5 = 9 + 7
16 = 16
LHS = RHS
अत: 7x – 5 = 3x +7 में x = 3 सही है।

RBSE Solutions

(iv) 5x – 7 = 4x +1 में x = 5
LHS व RHS में x= 5 रखने पर
5 x 5 – 7 = 4 x 5 + 1
25 – 7 = 20 + 1
18 ≠ 21
LHS ≠ RHS
अत: 5x – 7 = 4x + 1 में x = 5 गलत है।

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