document.write( "Question 1202978: The network of currents i₁, i₂, i₃ are related in the following equations:
\n" ); document.write( "z₁i₁ + z₃i₃ = V
\n" ); document.write( "z₂i₂ - z₃i₃ = 0
\n" ); document.write( "i₁ - i₂ - i₃= 0
\n" ); document.write( "Determine an expression for i₁, i₂, i₃ in terms of z₁, z₂, z₃ and V using method of the Cramer's rule.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #838227 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Line up the i's with like subscripts vertically:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Make the denominator determinant D, whose elements are all\r\n" );
document.write( "the coefficients of the i's on the left of the equal signs:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we make the numerator determinants.\r\n" );
document.write( "The numerator determinant for the 1st variable D_i1 is formed by\r\n" );
document.write( "replacing the 1st column of the denominator determinant D by the numbers on the\r\n" );
document.write( "right of the equal signs:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The numerator determinant for the 2nd variable D_i2 is formed by\r\n" );
document.write( "replacing the 2nd column of the denominator determinant D by the numbers on the\r\n" );
document.write( "right of the equal signs:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The numerator determinant for the 3rd variable D_i3 is formed by\r\n" );
document.write( "replacing the 3rdd column of the denominator determinant D by the numbers on the\r\n" );
document.write( "right of the equal signs:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Finally, we put the numerators over the same denominator D:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );