document.write( "Question 1025430: Find solution set of equation:
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Algebra.Com's Answer #640675 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "Find solution set of equation:
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document.write( "2x - 5y =  1,      (1)\r\n" );
document.write( "3x + 4y = 36.      (2)\r\n" );
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document.write( "Multiply equation (1) by 4 (both sides) and equation (2) by 5. You will get\r\n" );
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document.write( " 8x - 20y =   4,   (1')\r\n" );
document.write( "15x + 20y = 180.   (2')\r\n" );
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document.write( "Now add (1') and (2') (both sides). In this way you eliminate \"y\" and get a single equation for \"x\":\r\n" );
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document.write( "8x + 15x = 4 + 180.\r\n" );
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document.write( "Simplify and solve it:\r\n" );
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document.write( "23x = 184,\r\n" );
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document.write( "x =  = 8.\r\n" );
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document.write( "Then from (2) 4y = 36 - 3*x = 36 - 3*8 = 12. Hence, y =  = 3.\r\n" );
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document.write( "Answer. x = 8, y = 3.\r\n" );
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