Assume that a pair of boots costs [tex]x[/tex] dollars, this would mean that the shoes cost [tex]x+5[/tex] 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. [tex]2x+3(x+5)=130[/tex]. Expand the left hand side of the equation and add the like terms together. This causes the equation to look like [tex]5x+15=130[/tex]. Subtract 15 from both sides to isolate the variable. [tex]5x=115[/tex]. So now divide both sides to find what [tex]x[/tex] is. [tex]\frac{5x}{5}=\frac{115}{5}[/tex] -> [tex]x=23[/tex]. This means that a pair of boots costs 23 dollars.
