document.write( "Question 421840: Solve each system of equations using the substitution method.
\n" ); document.write( "4x - y = 32y = -2 x + 70
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Algebra.Com's Answer #853220 by ikleyn(53570) $\"\"$ $\"About$

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\n" ); document.write( "4x - y = 32
\n" ); document.write( "y = -2x + 70
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\n" ); document.write( "\n" ); document.write( " In the post by @mananth, the solution and the answer are incorrect.\r
\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "Your starting equations are\r\n" );
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document.write( "    4x - y = 32,     (1)\r\n" );
document.write( "    y = -2x + 70.    (2)\r\n" );
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document.write( "Substitute expression (2) for y into equation (1)\r\n" );
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document.write( "    4x - (-2x + 70) = 32.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    4x + 2x - 70 = 32,\r\n" );
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document.write( "       6x = 32 + 70 = 102,\r\n" );
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document.write( "        x           = 102/6 = 17.\r\n" );
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document.write( "Now we are going to find y.\r\n" );
document.write( "For it, substitute x = 17 into equation (2)        \r\n" );
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document.write( "    y = -2x + 70 = -2*17 + 70 = -34 + 70 = 36.\r\n" );
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document.write( "ANSWER.  The solution is x = 17, y = 36.\r\n" );
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document.write( "         Not y = -36, as mistakenly stated in solution by @mananth.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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