Question

solve : x+1/2x+3=2/8​

Answer 1

Answer:

solution is-1/2

Step-by-step explanation:

x+1/2x+3 = 2/8

8(x+1) = 2( 2x+3)

8x+8 = 4x+6

4x=-2

x=-1/2

Answer 2

$\sf\huge {\underline{\underline{{Solution}}}}$

$\sf\implies \dfrac{x + 1}{2x + 3} = \dfrac{2}{8}$

Both sides have fractional values so, cross multiply to both sides:

$\sf\implies8(x + 1) = 2(2x + 3)$

opening the brackets and expanding the terms:

$\sf\implies8x + 8 = 4x + 6$

Now,making Variable and constant term together:

$\sf\implies8x - 4x = 6 - 8$

$\sf\implies4x = - 2$

$\sf\implies \: x = - \dfrac{2}{4} = - \dfrac{ 1}{2}$

$\sf \bold{x = - \dfrac{1}{2} }$

Check:

$\sf\implies \dfrac{x + 1}{2x + 3}$

$\sf\implies4x = - 2$

$\sf\implies4 \times - \frac{1}{2}$

$= - 2$

Since,LHS = RHS(Verified)