can you solve please
Answers
Step-by-step explanation:
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question no 45
x-x-1/2=1-x+2/3
x-x-1/2+x+2/3=1
6x-3x-3+2x+4/6=1
8x-3x+1/6=1
5x+1=6
5x=5
x=1
ANSWERS:
45). 5
46). 2.7
47). 36
48). -4.33
49). -2.66
50). -5/6
EXPLANATION:
45. x - x-1 = 1 - x-2
2. 3
let LCM of LHS be 2 and of RHS be 3(according to the Qs.)
=2x - x - 1 = 3 - x - 2
2. 3
=x - 1 = 1 - x
2. 3
=2(1 - x) = 3(x-1) [by cross multiplication]
=2 - 2x = 3x - 3
2 - 2x = 3x - 3
=-2x - 3x = -3 - 2
=-5x = -5
=x = -5/-5
=x = 5
___________________________
46. x - 1 = x + 1
2 5 3 4
LCM of LHS & RHS
=5x - 2 = 4x + 3
10. 12
= 12(5x-2) = 10(4x + 3) [by cross multiplication]
= 60x - 24 = 40x + 30
= 60x - 40x = 30 + 24
= x = 54/20
= x =2.7
_____________________
47. x - 3x + 5x = 21
2. 4. 6
LCM of LHS
= 6x - 9x + 10x = 21
12
= 7x = 21
12
= x = 21 × 12
7
= x = 3 × 12
= x=36
_____________________
48. x + 7 - 8x = 17 - 15x
3. 6. 2
LCM of LHS & RHS
= 3x + 21 - 8x = 17 - 15x
3. 6
= 21x - 5x = 17 - 15x
3. 6
= 6(21 - 5x) = 3(17 - 15x) [by cross multiplication]
= 126 - 30x = 51 -45x
= 45x - 30x = 51 - 126
= 15x = -65
= x = -65/15
= x = 13/3
= x = -4.33
______________________
49. 3x + 4 = -2
2 - 6x 5
5(3x - 4) = -2(2-6x) [by cross multiplication]
15x + 20 = 4 - 12x
15x - 12x = 4 - 20
6x = -16
x = -16/6
x = -2.66
______________________________
50.7x + 4 = -4
x + 2 3
3(7x - 4) = 3(x + 2). [by cross multiplication]
21x + 21 = 3x + 6
21x - 3x = 6 - 21
18x = -15
x = -15/18
x = (-5/6)