Puzzles
Algebraic fractions
Source: UKMT Senior Maths Challenge 2014
Given that
$$\frac{3x+y}{x-3y}=-1$$
what is the value of
$$\frac{x+3y}{3x-y}$$
?
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXIV,
puzzles about algebra, or a random puzzle.
puzzles about algebra, or a random puzzle.