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Solve the following pair of linear equations.

Posted April 12th, 2008 by alpha
in

ax+by=c
bx+ay=1+c

‹ Laplace transform Solve the following pair of linear equations. ›

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answer

On April 13th, 2008 Structure says:

ax+by=c
bx+ay=1+c

$$x=\frac{\left|\begin{array}{cc}c&b\\1+c&a\end{array}\right|}{\left|\begin{array}{cc}a&b\\b&a\end{array}\right|}=\frac{ac-b-bc}{a^2-b^2}$$
$$y=\frac{\left|\begin{array}{cc}a&c\\b&1+c\end{array}\right|}{\left|\begin{array}{cc}a&b\\b&a\end{array}\right|}=\frac{a+ac-bc}{a^2-b^2}$$

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