document.write( "Question 999545: solve each system of equations by substitution method
\n" ); document.write( "3x+6y=9
\n" ); document.write( "4x+8y=16
\n" ); document.write( "

Algebra.Com's Answer #617149 by ikleyn(52804)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "3x + 6y = 9    (1)\r\n" );
document.write( "4x + 8y = 16   (2)\r\n" );
document.write( "\r\n" );
document.write( "Let us divide equation (1) by 2 (both sides) and equation (2) by 4 (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "x + y = 3      (1')\r\n" );
document.write( "x + y = 4      (2')\r\n" );
document.write( "\r\n" );
document.write( "Note that the left sides of these equations (1') and (2') are identical, while left sides are different.\r\n" );
document.write( "It means that the system (1')-(2') is a) dependent and b) inconsistent. It has no solution. \r\n" );
document.write( "It implies that the original system (1)-(2) is a) dependent and b) inconsistent, too. It also has no solution. \r\n" );
document.write( "\r\n" );
document.write( "One can see it from the very beginning that the system (1)-(2) is dependent and inconsistent.\r\n" );
document.write( "Indeed, the equations (1) and (2) have proportional left side coefficients, while the right sides are proportional with the different coefficient of proportionality.\r\n" );
document.write( "

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