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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

$$anyshortmethodwhena,b,r,sare$$$$verylargequantity?$$

Answered by ajfour last updated on 22/Nov/19

$$x=\frac{{\left|\begin{array}{cc}r& b\\ s& -a\end{array}\right|}_{}}{{\left|\begin{array}{cc}a& b\\ b& -a\end{array}\right|}^{}},y=\frac{{\left|\begin{array}{cc}a& r\\ b& s\end{array}\right|}_{}}{{\left|\begin{array}{cc}a& b\\ b& -a\end{array}\right|}^{}}.$$

Commented by Learner-123 last updated on 24/Nov/19

$$thankssir.$$

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