Question

solbe and check the result

Answer 1

(x+1)/(2x+3) = 3/8
by cross multiplication
8(x+1) = 3(2x+3)
8x+8 = 6x+9
2x = 1
x = 1/2
so value of x is 1/2

Answer 2

Hi friend, Harish here.

Here is your answer;

Given that,

$\frac{x+1}{2x+3} = \frac{3}{8}$

To find,

The value of x. And to check the answer.

Solution.

We know that,

$\frac{x+1}{2x+3} = \frac{3}{8}$

Now cross multiply, We get.

$8(x+1) = (2x+3) \times 3$

⇒ $8x + 8 = 6x + 9$

⇒ $2 x = 1$

⇒ $x = \frac{1}{2}$

Check:

Now substitute the x value in the given equation.

Then,

$\frac{x+1}{2x+3} = \frac{ \frac{1}{2} + 1}{ (2\times \frac{1}{2})+ 3 }$

⇒ $\frac{ \frac{1}{2} + 1}{ (2\times \frac{1}{2})+ 3 } = \frac{ \frac{1+2}{2} }{1+3} = \frac{ \frac{3}{2} }{4} = \frac{3}{8}$

Therefore the value of x found is correct.
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Hope my answer is helpful to you