document.write( "Question 1057575:
\n" ); document.write( " I would greatly appreciate a clear solution with work for this problem:
\n" ); document.write( " Solve this system of linear equation using any algebraic method.Show solution check.\r
\n" ); document.write( "\n" ); document.write( " 8x-6y=12
\n" ); document.write( " 12x-9y=18\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #672623 by ikleyn(52782) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( " I would greatly appreciate a clear solution with work for this problem:
\n" ); document.write( " Solve this system of linear equation using any algebraic method.Show solution check.\r
\n" ); document.write( "\n" ); document.write( " 8x-6y=12
\n" ); document.write( " 12x-9y=18\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " 8x - 6y = 12.   (1)\r\n" );
document.write( "12x - 9y = 18    (2).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "First, simplify the system. Divide the first equation by 2 (both sides). \r\n" );
document.write( "Divide the second equation by 3 (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "4x - 3y = 6,     (1')\r\n" );
document.write( "4x - 3y = 6.     (2').\r\n" );
document.write( "\r\n" );
document.write( "Now you see that the equations (1') and (2') have identical left sides and identical right sides.\r\n" );
document.write( "Hence, the system has infinitely many solutions.\r\n" );
document.write( "\r\n" );
document.write( "To get these solutions, simply express \"y\" via \"x\" from either equation:\r\n" );
document.write( "\r\n" );
document.write( "y = .\r\n" );
document.write( "\r\n" );
document.write( "For any (arbitrary) value of x you will have the solution of the system y.\r\n" );
document.write( "

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

\n" );