1. **State the problem:** Mr. Chang bought 8 volleyballs and 2 nets for 1460. Ms. Yoo bought 1 volleyball and 1 net for 595. We need to find the cost of one volleyball and one net. 2. **Define variables:** Let $v$ be the cost of one volleyball. Let $n$ be the cost of one net. 3. **Write the system of equations based on the purchases:** $$8v + 2n = 1460$$ $$v + n = 595$$ 4. **Solve the system:** From the second equation, express $n$: $$n = 595 - v$$ Substitute into the first equation: $$8v + 2(595 - v) = 1460$$ Simplify: $$8v + 1190 - 2v = 1460$$ $$6v + 1190 = 1460$$ Subtract 1190 from both sides: $$6v = 270$$ Divide both sides by 6: $$v = 45$$ 5. **Find $n$ using $v=45$:** $$n = 595 - 45 = 550$$ 6. **Answer:** The cost of one volleyball is $45$ and the cost of one net is $550$.