I want to generate 1000 pairs of two random variables {$x_1$, $x_2$}, both $x_1$ and $x_2$ follow a normal distribution (with a mean $m_1$ and standard deviation $\sigma_1$ for $x_1$ and $m_2$ and $\sigma_2$ for $x_2$).$x_1$ and $x_2$ are also constrained by:  $$x_1+x_2=0.5$$How can I proceed with generation of ${x_1,x_2}$ under those constraints?
generating constrained random number
random number generation