Chapter 8.6, Problem 36S

To determine

To solve: the given equation.

Answer to Problem 36S

The solution of the equation is $y=1-3x$

Explanation of Solution

Given:

  $y=2+\frac{5}{x}$

Calculation:

Add x from each side

  $-x+5y=10$

  $-x+x+5y=10+x$ [Add x to each side]

  $5y=10+x$ [Combine like terms]

  $y=2+\frac{5}{x}$ [Divide each side by 5]

The solution is $y=1-3x$

Conclusion: The solution of the equation is $y=2+\frac{5}{x}$