### Author Topic: Solving linear equations  (Read 7225 times)

#### Fu-Kwun Hwang

• Hero Member
•     • • Posts: 3062 ##### Solving linear equations
« on: March 24, 2009, 09:02:50 am »
Assume there are two linear equations:

a1*x+b1*y=c1
a2*x+b2*y=c2

\$x=frac{egin{vmatrix}c_1 & b_1\ c_2 & b_2 end{vmatrix}}{egin{vmatrix} a_1 & b_1 \ a_2 & b_2 end{vmatrix}}=frac{c_1*b_2-c_2*b_1}{a_1*b_2-a_2*b_1}\$,
\$y=frac{egin{vmatrix}a_1 & c_1 \ a_2 & c_2 end{vmatrix}}{egin{vmatrix}a_1 & b_1 \a_2 & b_2end{vmatrix}}=frac{a_1*c_2-a_2*c_1}{a_1*b_2-a_2*b_1}\$

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