document.write( "Question 451984: i am having troubles with solving the systems of equations in substitution. how do you solve the equation x-2y=0 and 4x-3y=15 in ordered pair form, (x,y)? \n" ); document.write( "

Algebra.Com's Answer #853374 by ikleyn(53617) $\"\"$ $\"About$

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\n" ); document.write( "i am having troubles with solving the systems of equations in substitution. how do you solve the equation
\n" ); document.write( "x-2y=0 and 4x-3y=15 in ordered pair form, (x,y)?
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\n" ); document.write( "\n" ); document.write( "        When I look at the solution by @mananth, I see that it is done in anti-pedagogic way. \r
\n" ); document.write( "\n" ); document.write( "        It is absolutely inappropriate to teach in this way.\r
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\n" ); document.write( "\n" ); document.write( "        I will solve it in a simple manner, as simple as possible and as clear and straightforward as it should be done.\r
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document.write( "The starting equations are\r\n" );
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document.write( "    x - 2y = 0,     (1)\r\n" );
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document.write( "    4x - 3y = 15.   (2)\r\n" );
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document.write( "From the first equation,  express  x = 2y.\r\n" );
document.write( "Now substitute '2y' instead of 'x' into the second equation\r\n" );
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document.write( "    4(2y) - 3y = 15,\r\n" );
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document.write( "    8y - 3y = 15,\r\n" );
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document.write( "       5y   = 15,\r\n" );
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document.write( "        y   = 15/5 = 3.\r\n" );
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document.write( "Now  x = 2y = 2*3 = 6.\r\n" );
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document.write( "ANSWER.  x = 6, y = 3.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly, in a simple, clear and straightforward manner.\r
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