document.write( "Question 1131978: 6y=-5x+24
\n" );
document.write( "2.5x+3y=12 \n" );
document.write( "
Algebra.Com's Answer #748748 by ikleyn(52832)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Write both equations in the standard form of the system of 2 equations in 2 unknowns\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x + 6y = 24\r\n" ); document.write( "2.5x + 3y = 12\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Notice that the first equation is exactly the second equation after multiplying both its sides by 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, these two equations are EQUIVALENT and, actually, represent one (the same) straight line.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the system is dependent. It has infinitely many solutions.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You can have any value for x; then the corresponding value for y will be y =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - Geometric interpretation of the linear system of two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |