mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Algebraic fractions

Given that
$$\frac{3x+y}{x-3y}=-1$$
what is the value of
$$\frac{x+3y}{3x-y}$$
?

Show answer & extension

Tags: algebra
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXIV,
puzzles about algebra, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

the only crossnumber gerrymandering powers menace parabolas dates calculus wordplay cube numbers chalkdust crossnumber median digital clocks tiling pascal's triangle crossnumbers geometric means area shapes circles time crosswords chess determinants dice routes tournaments consecutive integers remainders logic factors multiples star numbers mean colouring volume regular shapes speed proportion cryptic crossnumbers digital products numbers grids square roots integers surds square numbers averages functions percentages rectangles even numbers perfect numbers tangents hexagons sequences consecutive numbers complex numbers 3d shapes graphs books bases factorials division means ave games cryptic clues probability sport albgebra irreducible numbers grids prime numbers folding tube maps planes money advent medians geometry coins geometric mean polygons differentiation quadratics products odd numbers axes clocks dodecagons addition ellipses dominos scales elections decahedra cubics unit fractions number palindromes sums balancing cards matrices people maths spheres sets indices sum to infinity perimeter algebra taxicab geometry polynomials lines numbers rugby range shape square grids multiplication binary integration chocolate squares expansions digits symmetry doubling triangles fractions angles floors neighbours pentagons combinatorics coordinates trigonometry quadrilaterals partitions arrows 2d shapes probabilty triangle numbers christmas

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025