document.write( "Question 1045369: Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. x + 2y = 0 x - y = 6 \n" ); document.write( "
Algebra.Com's Answer #660797 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x + 2y = 0 \n" ); document.write( "x - y = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the second equation from the first to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3y = -6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get y = -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace y in either equation and solve for x to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "confirm by replacing x with 4 and y with -2 in both original equations to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2y = 0 becomes 4 - 4 = 0 becomes 0 = 0 \n" ); document.write( "x + y = 6 becomes 4 + 2 = 6 becomes 6 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the solutions are confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this system of equations yields one solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |