Question

solve the following equation and verify the solution ​

Answer 1

Answer:

what is the value of x, a etc

Answer 2

Answer:

(a) 2-x / x-7 = 3/5

5 ( 2- x ) = 3 ( x- 7)

10- 5x = 3x - 21

10+21 = 3x+5x

31 = 8x

31/8 = x

(b) x - ( 7 - 8x) / 9x - ( 3 + 4x) = 2/3

x -7 + 8x / 9x - 3 - 4x = 2/3

9x - 7 / 5x - 3 = 2/3

3 ( 9x - 7 ) = 2 ( 5x - 3 )

27x - 21 = 10x - 6

27x - 10x = -6 + 21

17x = 15

x = 15/17

(c) 9x / 7 - 6x = 15

9x = 105 - 90x

9x + 90x = 105

99x = 105

x = 105/99

(d) 2a - 5 / 5a - 2 = 3 / 22

22 ( 2a -5 ) = 3 ( 5a - 2 )

44a - 110 = 15a - 6

44a - 15a = -6 + 110

29a = 104

a = 104 / 29

(e) 8x + 3 / 2x - 3 = 4x / x-3

(x - 3 ) ( 8x + 3 ) = 4x ( 2x - 3 )

8x² +3x - 24x - 9 = 8x² - 12

8x² - 21x - 9 = 8x² - 12

-21x - 9 = -12

-9 + 12 = 21x

3 = 21x

3/21 = x

1/7 = x

(f) x / 3x + 1 = 3x - 6 / 9x - 2

x ( 9x - 2 ) = (3x + 1 ) ( 3x - 6 )

9x² - 2x = 9x² - 18x + 3x - 6

- 2x = -15x - 6

-2x + 15x = -6

13x = -6

x = -6 / 13