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solve_mod() takes long time and no result return when computing big numbers

when I use solve_mod to solve equations like slove_mod([3x + 2y == 5,6 * x + 5 * y ==11],13),it will return a result quickly . However,when i use it like solve_mod([9677035x + 7162589 *y == 4477085 ,5302728x + 8472081*y == 11061226],14282531),it takes long time but no result return, i was wondering whether solve_mod()'s alogrithm is horrible when big numbers are computed.Is there a faster way to solve big numbers equation?