A System of Nonlinear Equations

Algebra Level 2

Given the system of equations {x(x+y)=9y(x+y)=16 \begin{cases} x(x+y) &=& 9 \\ y(x+y) &=& 16 \end{cases} the value of xyxy can be written as ab\frac{a}{b} where aa and bb are positive coprime integers. Find a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...