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System of Two Linear Equations

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Find the solution to a system of two linear equations.
System of Two Linear Equations
\(\\ \hspace{20px} a_1 x+b_1 y=c_1\\ \hspace{20px} a_2 x+b_2 y=c_2\\ \)
System of Two Linear Equations
x +
y =
x +
y =
The solution x is obtained from the LU decomposition of the matrix A using partial pivoting.

\(\normalsize A{ x} =LU{ x}={ b}\\ { x}=A^{\small -1}{ b}=U^{\small -1}L^{\small -1}{ b}\\\)

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