Question

(x + 1) / 3 equals (x + 2) / 5

Answer 1

`(x+1)/(3)=(x+2)/(5)`

Using cross multiplication,

`(x+1)\cdot5=(x+2)\cdot3`

Applying distributive property,

`\begin{gathered} 5x+5\cdot1=3x+2\cdot3 \\ 5x+5=3x+6 \end{gathered}`

Subtracting 5 and 3x at both sides,

`\begin{gathered} 5x+5-5=3x+6-5 \\ 5x=3x-1 \\ 5x-3x=3x-1-3x \\ 2x=1 \end{gathered}`

Dividing by 2 at both sides,

`\begin{gathered} (2x)/(2)=(1)/(2) \\ x=(1)/(2) \end{gathered}`