Question Number 74329 by Learner-123 last updated on 22/Nov/19
$${Solve}\:: \\ $$$${ax}+{by}={r} \\ $$$${bx}−{ay}={s} \\ $$
Commented by Learner-123 last updated on 22/Nov/19
$${any}\:{short}\:{method}\:{when}\:{a},{b},{r},{s}\:{are}\: \\ $$$${very}\:{large}\:{quantity}\:? \\ $$
Answered by ajfour last updated on 22/Nov/19
$${x}=\frac{\begin{vmatrix}{{r}}&{{b}}\\{{s}}&{−{a}}\end{vmatrix}_{} }{\begin{vmatrix}{{a}}&{{b}}\\{{b}}&{−{a}}\end{vmatrix}^{} }\:\:,\:\:\:{y}=\frac{\begin{vmatrix}{{a}}&{{r}}\\{{b}}&{{s}}\end{vmatrix}_{} }{\begin{vmatrix}{{a}}&{{b}}\\{{b}}&{−{a}}\end{vmatrix}^{} }\:\:. \\ $$
Commented by Learner-123 last updated on 24/Nov/19
$${thanks}\:{sir}. \\ $$