Question

I need to know the solution to the equation x/2 + 2x/3 =5

Answer 1

We have to solve the equation:

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

We can solve this by looking for a common denominator for the terms that have x. In this case, the common denominator is 6, so we can solve this as:

`\begin{gathered} (x)/(2)+(2x)/(3)=5 \\ (x)/(2)\cdot(3)/(3)+(2x)/(3)\cdot(2)/(2)=5 \\ (3x)/(6)+(4x)/(6)=5 \\ (3x+4x)/(6)=5 \\ (7x)/(6)=5 \\ x=5\cdot(6)/(7) \\ x=(30)/(7) \end{gathered}`

Answer: the solution is x = 30/7