document.write( "Question 205525: Which of the following systems of equations has no solution?\r
\n" ); document.write( "\n" ); document.write( "(A) 5x + 10y = 20 4x + 8y = 16
\n" ); document.write( "(B) 5x + 10y = 20 x + 2y = 4
\n" ); document.write( "(C) 5x + 10y = 20 4x + 8y = 20
\n" ); document.write( "(D) None of these
\n" ); document.write( "

Algebra.Com's Answer #155149 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Which of the following systems of equations has no solution? \r
\n" ); document.write( "\n" ); document.write( "(A) \"system%285x+%2B+10y+=+20%2C+4x+%2B+8y+=+16%29\"
\n" ); document.write( "
\r\n" );
document.write( "Divide the first equation through by 5, and the second\r\n" );
document.write( "equation through by 4:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28x+%2B+2y+=+4%2C+x+%2B+2y+=+4%29\"\r\n" );
document.write( "\r\n" );
document.write( "Those are the same line, so the system is dependent and has\r\n" );
document.write( "infinitely many solutions.  So that's not it.\r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "(B) \"system%285x+%2B+10y+=+20%2C+x+%2B+2y+=+4%29\"
\n" ); document.write( "
\r\n" );
document.write( "Divide the first equation by 5:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28x+%2B+2y+=+4%2C+x+%2B+2y+=+4%29\"\r\n" );
document.write( "\r\n" );
document.write( "Those are also the same line, so the system is dependent and has\r\n" );
document.write( "infinitely many solutions.  So that's not it either.\r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "(C) \"system%285x+%2B+10y+=+20%2C+4x+%2B+8y+=+20%29\"
\n" ); document.write( "
\r\n" );
document.write( "Divide the first equation through by 5, and the second\r\n" );
document.write( "equation through by 4:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28x+%2B+2y+=+4%2C+x+%2B+2y+=+5%29\"\r\n" );
document.write( "\r\n" );
document.write( "The left sides are the same but the right sides are not\r\n" );
document.write( "So they are inconsistent and have no solution.  This is\r\n" );
document.write( "the correct choice!\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );