document.write( "Question 454259: use substitution method to determine whether the system of linear equations has no solution, one solution,or many solutions\r
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Algebra.Com's Answer #853392 by ikleyn(53538) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "use substitution method to determine whether the system of linear equations has no solution, one solution,
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\n" ); document.write( "2x - y = 8
\n" ); document.write( "x + 4y = 13
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\n" ); document.write( "\n" ); document.write( "        The way how @mananth solves this system of equations in his post makes very bad impression.\r
\n" ); document.write( "\n" ); document.write( "        Normal people would solve it differently, and no one normal teacher in healthy mind would teach \r
\n" ); document.write( "\n" ); document.write( "        this way as @mananth does.\r
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document.write( "In this case, you are lucky, because you easy can express 'y' from the first equation\r\n" );
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document.write( "    y = 2x - 8\r\n" );
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document.write( "and substitute it into the second equation\r\n" );
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document.write( "    x + 4(2x-8) = 13.\r\n" );
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document.write( "Now simplify this equation and find x\r\n" );
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document.write( "    x + 8x - 32 = 13,\r\n" );
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document.write( "    x + 8x = 13 + 32\r\n" );
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document.write( "      9x   =    45\r\n" );
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document.write( "       x   =    45/9 = 5.\r\n" );
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document.write( "Now find 'y' by substituting x= 5 into  y = 2x-8 = 2*5-8 = 10-8 = 2.\r\n" );
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document.write( "ANSWER.  x = 5,  y = 2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly, in a normal way.\r
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\n" ); document.write( "\n" ); document.write( "Ignore the post by @mananth for the safety of your mind, since it is wrong and inappropriate teaching.\r
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