Solving Linear-Quadratic Systems by Elimination

Suppose $...$ $$\begin{array}{c} \begin{array}{rcl} a &\ne& b \\ a &\ne& -b \end{array} \\ a \text{ and } b \text{ are real constants.} \end{array}$$

Which of the following statements is true about the system of equations below? $$\begin{array}{rcl} 10 &=& ay - bx \\ 10 &=& by - ax \end{array}$$