Question

Solve the equation for x : 1 + x/3 = x/4 - 1/2​

Answer 1

Answer:

x = -6/13

Step-by-step explanation:

x : 1 + x/3 = x/4 - 1/2​

x/1 +x/3 = x/4 - 1/2

x/1+x/3 - x/4 = -1/2

(12x+4x-3x)/12 = -1/2

13x/12 = -1/2

13x = -12/2

13x = -6

x = -6/13

Answer 2

$\bigstar$ We have,

1 + x/3 = x/4 - 1/2

$\implies$ 1 + 1/2 = x/4 - x/3

(By using Transposition Method)

$\implies$ 2/2 + 1/2 = 3x/12 - 4x/12

(Making the denominator same)

$\implies$ (2 + 1)/2 = (3x - 4x)/12

$\implies$ 3/2 = (-x/12)

$\implies$ x/12 = (-3/2)

$\implies$x = (-3/2) × 12

$\implies$x = (-3) × 6

(Cancellation of 2 and 12)

$\implies$ $\boxed{\sf x \: = \: (-18)\:}$

$\therefore$x = (-18)