document.write( "Question 50798: Write the system of equations as a matrix equation. Then solve the system, if possible, by using a matrix equation. If not possible, classify the system.
\n" ); document.write( "2x+6y=-36
\n" ); document.write( "2x+6y=-29 \n" ); document.write( "

Algebra.Com's Answer #33833 by AnlytcPhil(1810) $\"\"$ $\"About$

You can put this solution on YOUR website!

Write the system of equations \r\n" );
document.write( "as a matrix equation. Then solve the \r\n" );
document.write( "system, if possible, by using a \r\n" );
document.write( "matrix equation. If not possible, \r\n" );
document.write( "classify the system. \r\n" );
document.write( "\r\n" );
document.write( "     2x + 6y = -36\r\n" );
document.write( "     2x + 6y = -29\r\n" );
document.write( "\r\n" );
document.write( "     æ2 6öæxö _ æ-36ö   	\r\n" );
document.write( "     è2 6øèyø ¯ è-29ø   \r\n" );
document.write( "\r\n" );
document.write( "That's the matrix equation. We would \r\n" );
document.write( "normally multiply both sides by the \r\n" );
document.write( "inverse of the matrix on the left.\r\n" );
document.write( "However, in this case, the matrix on \r\n" );
document.write( "the left is singular, i.e., it has no \r\n" );
document.write( "inverse since its determinant is \r\n" );
document.write( "12-12 or 0.  Such a system is either\r\n" );
document.write( "inconsistent or dependent.\r\n" );
document.write( "\r\n" );
document.write( "This system is classified as inconsistent \r\n" );
document.write( "since it has no solution. We can tell\r\n" );
document.write( "that because 2x + 6y cannot equal both -36 \r\n" );
document.write( "and -29.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );