11．已知$P_{1}(x_{1}$，$y_{1})$，$P_{2}(x_{2}$，$y_{2})$是直线$y=kx+2023(k$为常数）上两个不同的点，则关于$x$和$y$的方程组$\left\{{\left.\begin{array}{l}{{x_1}x+{y_1}y=1,}\\ {{x_2}x+{y_2}y=1}\end{array}\right.}\right.$的解的情况，下列说法正确的是$($　　$)$