document.write( "Question 242900: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution? \n" ); document.write( "

Algebra.Com's Answer #177902 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "When you simplify the equation, if you end up with no variables\r\n" );
document.write( "or unknowns and the resulting equation has only numbers in it, \r\n" );
document.write( "that is, no letters, then:\r\n" );
document.write( "\r\n" );
document.write( "1.  If the resulting equation is true, such as 2 = 2 or 0 = 0\r\n" );
document.write( "    or -7 = -7, etc. then the equation has infinitely many solutions.\r\n" );
document.write( "\r\n" );
document.write( "2.  If the resulting equation is false, such as 2 = 3 or 7 = 5\r\n" );
document.write( "    or -7 = 7, etc. then the equation has no solution.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );