Question

I need help with my pre-calculus homework, the image of the problem is attached. Please show me how to solve this problem, thank you!

Answer 1

Given the following equation:

`\text{ }\frac{\text{ 2}}{5x}\text{ + 4 = }(2)/(x)`

Let's find x,

`\text{ }\frac{\text{ 2}}{5x}\text{ + 4 = }(2)/(x)`
`\text{ 5x( }\frac{\text{ 2}}{5x}\text{ + 4) = (}(2)/(x))5x`
`\text{ 5x(}\frac{\text{ 2}}{5x})\text{ + 5x(4) = (}(2)/(x))5x`
`\text{ 2 + 20x = 10}`
`\text{ 2 + 20x - 2 = 10 - 2}`
`\text{ 20x = 8}`
`\text{ }\frac{\text{20x}}{20}\text{ = }\frac{\text{8}}{20}`
`\text{ x = }(8)/(20)`
`\text{ x = }((8)/(4))/((20)/(4))\text{ = }(2)/(5)`

Therefore, the answer is letter A: 2/5