document.write( "Question 999991: Hello, Iam trying to show
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document.write( " the work for system of equations by the substitution method, can you help please? Here are the two equations.
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document.write( "4x+y=11
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document.write( "2x+5y=1 \n" );
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Algebra.Com's Answer #853968 by ikleyn(53750) You can put this solution on YOUR website! . \n" ); document.write( "Hello, Iam trying to show \n" ); document.write( "the work for system of equations by the substitution method, can you help please? Here are the two equations. \n" ); document.write( "4x+y=11 \n" ); document.write( "2x+5y=1 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is incorrect due to an arithmetic error.\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "From the first equation, express\r\n" ); document.write( "\r\n" ); document.write( " 4x + y = 11,\r\n" ); document.write( "\r\n" ); document.write( "express y = 11 - 4x and substitute it into the second equation\r\n" ); document.write( "\r\n" ); document.write( " 2x + 5(11-4x) = 1.\r\n" ); document.write( "\r\n" ); document.write( "This is an equation for single variable 'x'. Simplify and find 'x'.\r\n" ); document.write( "\r\n" ); document.write( " 2x + 55 - 20x = 1\r\n" ); document.write( "\r\n" ); document.write( " -18x = -54\r\n" ); document.write( "\r\n" ); document.write( " x = -54/-18\r\n" ); document.write( "\r\n" ); document.write( " x = 3\r\n" ); document.write( "\r\n" ); document.write( "plug x= 3 in y = 11 - 4x\r\n" ); document.write( "\r\n" ); document.write( " y = 11 - 4*3\r\n" ); document.write( "\r\n" ); document.write( " y = -1\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. x = 3, y = -1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may check that this answer is correct by substituting the values into original equations.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |