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Answers
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Answer:
(i) x = 3/7 ; (ii) x = 3 ; (iii) n = 60/71 ; (iv) n= 1 ; (v) x = 5 ; (vi) x = 0 ; (vii) x = 1
Step-by-step explanation:
(i) x/3 + 2/7 = 2x/7 + 15/49
2x/7 - x/3 = 2/7 - 15/49
Taking LCM,
(6x - 7x)/21 = (14 - 15)/49
-x/21 = -1/49
x = 21/49
x = 3/7
(ii) 2x/7 + 1/7 = 2x/3 - 1
2x/7 - 2x/3 = -1/7 - 1
Taking LCM,
(6x - 14x)/21 = (-1 - 7)/7
-8x/21 = -8/7
x = (-8/7) × (-21/8)
x = 3
(iii) 5n/4 - n/5 +2n/15 = 1
Taking LCM,
(75n - 12n + 8n)/60 = 1
83n - 12n = 60
71n = 60
n = 60/71
(iv) 7n/3 - 5n/6 + 8n/9 = 43/18
Taking LCM,
(42n - 15n + 16n)/18 = 43/18
(58n - 15n)/18 = 43/18
43n/18 = 43/18
n = 43/18 × 18/43
n= 1
(v) 2x + 15 - 4x/5 = 22 - x/5
2x - 4x/5 + x/5 = 22 - 15
Taking LCM,
(10x - 4x + x)/5 = 7
7x = 35
x = 35/7
x = 5
(vi) (x - 7)/7 = (x - 5)/5
5(x - 7) = 7(x - 5)
5x - 35 = 7x - 35
5x - 7x = -35 + 35
-2x = 0
x = 0
(vii) (3x - 5)/2 = (5x - 8)/3
3(3x - 5) = 2(5x - 8)
9x - 15 = 10x - 16
9x - 10x = -16 + 15
-x = -1
x = 1
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