document.write( "Question 125113: How do you know if an expression has infinitely many solutions? \n" ); document.write( "
Algebra.Com's Answer #91721 by checkley71(8403) ![]() You can put this solution on YOUR website! AN EXPRESSION THAT HAS MORE UNKNOWNS THAN EQUATIONS FITS THIS CRITERIA. \n" ); document.write( "EXAMPLE: \n" ); document.write( "2X+3Y=8 \n" ); document.write( "X COULD BE=1 THEN Y=2. 2*1+3*2=8 OR 2+6=8 OR 8=8. \n" ); document.write( "OR X COULD BE=2 THEN Y=4/3. 2*2+3*4/3=8 OR 4+4=8 OR 8=8. \n" ); document.write( "OR X COULD BE=10 THEN Y=-4. 2*10+3*-4=8 OR 20-12=8 OR 8=8. \n" ); document.write( "YOU CAN SEE HOW AN INFINITE NUMBER OF SOLUTIONS ARE POSSIBLE. \n" ); document.write( "EVERY DIFFERENT X VALUE CREATES A CORRESPONDING DIFFERENT VALUE FOR Y. \n" ); document.write( " |