Chapter 1, Equations and Graphs - Section 1.9 - Solving Equations and Inequalities Graphically - 1.9 Exercises - Page 158: 7

Solving algebraically and graphically, we get the solution $x\approx 0.3571$.

Solve algebraically: $\frac{2}{x}+\frac{1}{2x}=7$ (Multiply by $2x$) $4+1=14x$ $5=14x$ $x=\frac{5}{14}$ $x=0.3571428....$ Solve graphically: We sketch the graphs of $y_1=\frac{2}{x}+\frac{1}{2x}$ and $y_2=7$ as shown below. Both intersect at $x=0.3571$. So, the solution is $x\approx 0.3571$.