Use proof by contradiction to show that there exist no integers x x\,x and y y\,y for which 2x+3y=13\displaystyle 2x + 3y = \frac{1}{3}2x+3y=31
368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.