← All problems

Sum of Coordinates from a Nonlinear System

Algebra · Math Count PH 2025 1500
Find all real number ordered pairs $(x,y)$ satisfying the following: $$ \begin{cases} x(y+3) = 42 \\ y(x+3) = 36 \end{cases}$$Input the answer as the sum of all $x$ and $y$-coordinates.