Question

Solve for x3/10 + 5/10 = 4/x

Answer 1

Given:

`(3)/(10)+(5)/(10)=(4)/(x)`

Solve the equation,

`\begin{gathered} (3)/(10)+(5)/(10)=(4)/(x) \\ \text{Find the least common multiple of 10 ,x=10x} \\ \text{ multiplied by 10x} \\ 10x((3)/(10)+(5)/(10))=10x\cdot(4)/(x) \\ 10x\cdot(3)/(10)+10x\cdot(5)/(10)=10\cdot4 \\ 3x+5x=40 \\ 8x=40 \\ \text{Divide by 8} \\ (8x)/(8)=(40)/(8) \\ x=5 \end{gathered}`

Answer: x=5