Unknowns are Unknowns! (Part 2)

Algebra Level 3

{2x2+2y2=5xyxyx+y=ab\large \begin{cases} 2x^2 + 2y^2 = 5xy \\ \dfrac{x-y}{x+y} = \dfrac{a}{b} \end{cases}

Real numbers xx, yy, aa, and bb, where aa and bb are positive coprime integers, satisfy the system of equations above. Find a×ba+b÷aa \times b - a + b \div a.


Try another problem on my set Let's Practice
×

Problem Loading...

Note Loading...

Set Loading...