document.write( "Question 1201449: Given the following system of equations, identify the type of system.\r
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document.write( "y = -x + 4\r
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document.write( "2x + 2y = 8\r
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Algebra.Com's Answer #835827 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Given the following system of equations, identify the type of system.\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " y = -x + 4\r\n" ); document.write( " 2x + 2y = 8\r\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The starting equations are\r\n" ); document.write( "\r\n" ); document.write( " y = -x + 4\r\n" ); document.write( " 2x + 2y = 8\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write equations in standard form\r\n" ); document.write( "\r\n" ); document.write( " x + y = 4\r\n" ); document.write( " 2x + 3y = 8\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You see that the second equation is the doubled the first one.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In other words, two equations of the system are equivalent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the same as if the system consists of one equation in two unknowns.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Such a system of equations is consistent and has infinitely many solutions.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\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( " \n" ); document.write( " |