document.write( "Question 1174657: Find how many solutions each system has for this:
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document.write( "-2x+y=6, y=x-8 \n" );
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Algebra.Com's Answer #800105 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To answer this question, you do not need to solve the system.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the given equations, you see that the first equation has the slope of 2,\r \n" ); document.write( "\n" ); document.write( "while the second equation has the slope of 1.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is just enough to conclude that the system has one and only one solution\r \n" ); document.write( "\n" ); document.write( "(the straight lines are not parallel and intersect in one point).\r \n" ); document.write( " \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( " \n" ); document.write( " |