document.write( "Question 447905: substitution
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document.write( "a - 4b = 2
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document.write( "2a - 5b = 1 \r
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document.write( "with steps too \n" );
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Algebra.Com's Answer #853340 by ikleyn(53538) You can put this solution on YOUR website! . \n" ); document.write( "substitution \n" ); document.write( "a - 4b = 2 \n" ); document.write( "2a - 5b = 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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " His answer a = 1.08, b = 0.23 is INCORRECT. These values do not satisfy second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So, I came to solve the problem in a right way.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "From first equation, express a = 4b+2 and substitute it into the second equation\r\n" ); document.write( "\r\n" ); document.write( " 2(4b+2) - 5b = 1,\r\n" ); document.write( "\r\n" ); document.write( " 8b + 4 - 5b = 1,\r\n" ); document.write( "\r\n" ); document.write( " 3b = 1 - 4 = -3,\r\n" ); document.write( "\r\n" ); document.write( " b = -3/3 = -1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then a = 4b+2 = 4*(-1) + 2 = -2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The solution is a = -2, b = -1.\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( " |