Question

please solve this with showing all the workings​

Answer 1

Answer:

a. x/4 + x/6 = x-7

6x + 4x/24 = x-7

10x/24 = x-7

10x = 24x-168

168 = 24x-10x

168/14 = x

12 = x

THEREFORE

x = 12. ans.

b. (6x+7)(2x+3) = (3x+2)(4x+5)

12x^2+18x+14x+21 = 12x^2+15x+8x+10

32x+21 = 23x+10

32x-23x = 10-21

9x = -11

x = -11/9. ans.

Answer 2

Answer:

(a)

$\frac{x}{4} + \frac{x}{6} = x - 7$

$\frac{3x + 2x}{12} = x - 7$

$3x + 2x = 12(x - 7)$

$5x = 12x - 84$

$5x - 12x = - 84$

$7x = 84$

$x = \frac{84}{7}$

$x = 12$

(b)

$\frac{6x + 7}{3x + 2} = \frac{4x + 5}{2x + 3}$

$(6x + 7)(2x + 3) = (4x + 5)(3x + 2)$

$12 {x}^{2} + 18x + 14x + 21 = 12 {x}^{2} + 8x + 15x + 10$

$12 {x}^{2} + 32x + 21 = 12 {x}^{2} + 23x + 10$

$32x - 23x = 10 - 21$

$9x = - 11$

$x = \frac{ - 11}{9}$

Hope this helps.

Thanks.