Question

solve the following equations ​

Answer 1

Step-by-step explanation:

1-i. (x -1)/2 - (x -4)/ 5 = 10

(x -1)5 /10 -(x -4)2/10=10

(5x -5)/10 - (2x+ 8)/10 =10

(5x - 2x -5 +8 )/10 = 10

(3x +3 )/10 = 10

3x +3 =10×10

3x +3 = 100

3x =100 -3

3x = 97

x = 97/3

ii. 6m = 10m - 18/5

6m - 10m = -18/5

4m= 18/5

cancel both side (-ve) sign

m = 18/5 ×4

m = 90/5

m= 5answer

iii. (7y + 3)/ (2 - 5y) = 6/7

cross multiplication

(7y + 3) ×7 = 6× (2 - 5y)

49y + 21 = 12 - 30y

49y +30y = 12 - 21

79y = - 9 answer

iv. 7x /2 + x/4 =10

( 7x ×2 + x )/4 = 10

( 14x +x )/4 =10

15x /4 = 10

15x = 10× 4

15x = 40

x = 8/3 answer

v. (2x + 1)/( 3x - 1) =3/2

cross multiplication

(2x +1 ) × 2 = 3 ( 3x - 1)

4x + 2 = 9x - 3

4x - 9x = - 3 - 2

- 5x = -7

cancel both side (- ve) sign

x = 7/5 answer

vi. x/3 + 1 =7/15

x/3 = 7/15 -1

x/3 = 7 /15 - 1×15/15

x/3 = 7/15 - 15/15

x/3 = -8/15

x = - 8/15× 3

x = - 8/5 answer

vii. {( 2x +3 ) - (5x -7 ) }/ 6x + 11 = -8/3

{2x +3 - 5x +7 } /6x +11 = -8/3

{- 3x +10} /6x +11 = -8/3

cross multiplication

(- 3x +10)× 3 = -8(6x +11)

- 9x + 30 = - 48x -88

- 9x +48x = - 88 -30

39x = - 118

x = - 118/39 answer