document.write( "Question 380332: HOw do you know when an equation has an infinite number of solutions?\r
\n" ); document.write( "\n" ); document.write( "How do you know when an equation has no solution
\n" ); document.write( "

Algebra.Com's Answer #269900 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
HOw do you know when an equation has an infinite number of solutions?
\n" ); document.write( "Any single linear equation has an infinite number of solutions of the
\n" ); document.write( "form (x,y).
\n" ); document.write( "A system of 2 linear equations has an infinite number of solutions if
\n" ); document.write( "one of the equations is a multiple of the other.
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "How do you know when an equation has no solution
\n" ); document.write( "A system of 2 linear equations has no solution if
\n" ); document.write( "the slopes are equal and the y-intercepts are not equal.
\n" ); document.write( "========================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );