Assume that a pair of boots costs \(x\) dollars, this would mean that the shoes cost \(x+5\) dollars. From the question, you also know that 3 pairs of shoes and 2 pairs of boots cost $130, so substitute the variables of prices into an equation. \(2x+3(x+5)=130\). Expand the left hand side of the equation and add the like terms together. This causes the equation to look like \(5x+15=130\). Subtract 15 from both sides to isolate the variable. \(5x=115\). So now divide both sides to find what \(x\) is. \(\frac{5x}{5}=\frac{115}{5}\) -> \(x=23\). This means that a pair of boots costs 23 dollars.
