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Answer:
(I) - x-11
Step-by-step explanation:
8x-6x- 16+6
- 2x-22
x-11
(i) 8x - 16 = 6x + 6
8x - 6x = 6+16
2x = 22
x = 22/2
= 11
(ii) 16 ( x + 1 ) - 6 = 14 ( x + 1 )
16x + 16 - 6 = 14x + 14
16x - 14x = 14 + 6 - 16
2x = 4
x = 4/2
= 2
(iii) x/5 - 9/2 = -x/6
x/5 + x/6 = 9/2
( 6 + 5 )x/30 = 9/2
11x/30 = 9/2
x = 9/2 × 30/11
= 270/22
= 135/11
(iv) 6 - a - 1 a - 2 3 - a
————- - ——— = ———
2 3 2
( 6 - a - 1 ) 3 ( a - 2 ) 2 3 - a
—————— - ————— = ———
2 × 3 3 × 2 2
18 - 3a - 3 - 2a - 4 3 - a
—————-———— = ———
6 2
11 - 5a 3 - a
———— = ———
6 2
( 11 - 5a ) 2 = ( 3 - a ) 6
22 - 10a = 18 - 6a
6a - 10a = 18 -22
- 4a = - 4
a = -4/4
= -1
(v) 2 ( 2m + 1 ) - 40% of ( 6m - 1 ) = 7.2
4m + 2 - 40/100 ( 6m - 1 ) = 7.2
4m + 2 - 240m/100 - 40/100 = 7.2
4m - 240m/100 - 40/100 = 7.2 + 2
400m - 240m
———————— - 40/100 = 9.2
100
16m - 40 = 9.2 × 100
16m = 920/40
16m = 23
m = 23/16
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