Question

2x+3/x+3 = 3/2 solve the following expression and also verify the solution​

Answer 1

Answer:

x =3

Step-by-step explanation:

2x+3/x+3 = 3/2

2(2x+3) = 3(x+3)

4x+6 = 3x+9

x =3

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Answer 2

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

$\sf \longmapsto \dfrac{2x + 3}{x + 3} = \dfrac{3}{2}$

Now,cross multiply to both sides:

$\sf \longmapsto2(2x + 3) = 3(x + 3)$

$\sf \longmapsto4x + 6 = 3x + 9$

Now, arranging the terms by placing Variable terms together and constant terms together:

$\sf \longmapsto4x - 3x = 9 - 6$

$\sf \longmapsto \bold{ x = 3}$

$\sf\large\boxed{\bold{x}={\red{3}}}$

Check:-

LHS

$\sf \longmapsto \dfrac{2x + 3}{x + 3}$

$\sf \longmapsto \dfrac{2(3) + 3}{3 + 3}$

$\sf \longmapsto \dfrac{6 + 3}{6} = \dfrac{{ \cancel{9}}}{{ \cancel{6}}} = \dfrac{3}{2}$

∴LHS=RHS(verified)