Question

x+1 upon 2x+1=5 upon 3​

Answer 1

Answer:

x+1/2x+1=5/3

3x+3=10x+5

10x-3x+5-3=0

7x+2=0

7x=-2

x=-2/7

Answer 2

Answer :-

x = -2/7

Solution :-

$\sf \dfrac{x + 1}{2x + 1} = \dfrac{5}{3}$

By cross multiplication :-

⇒ (x + 1)3 = 5(2x + 1)

⇒ x(3) + 1(3) = 5(2x) + 5(1)

⇒ 3x + 3 = 10x + 5

Transpose 3 to RHS

⇒ 3x = 10x + 5 - 3

Transpose 10x to LHS

⇒ 3x - 10x = 2

⇒ - 7x = 2

Transpose - 7 to RHS

⇒ x = 2/(-7)

⇒ x = -2/7