document.write( "Question 990978: Please help me solve this equation: y=-2x+3
\n" ); document.write( " 4x+2y=12 \n" ); document.write( "

Algebra.Com's Answer #610927 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( " $\"system%28y=-2x%2B3%2C%0D%0A4x%2B2y=12%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Simply substitute the expression for y from the first equation to the second one. You will get\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x + 2*(-2x+3) = 12.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Simplify it:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x - 4x + 6 = 12.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6 = 12. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Could it be so? -No.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It means that your system has no solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Geometrically the original equations represent two parallel straight lines in a coordinate plane that have no intersection - have no common point.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );