document.write( "Question 1099540: Represent in the form of coordinates (x,y) the solution to this system of linear equations: 3x + 2y = 48 6x + 6y = 64 \n" ); document.write( "

Algebra.Com's Answer #713990 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "3x + 2y = 48,   (1)\r\n" );
document.write( "6x + 6y = 64.   (2)\r\n" );
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document.write( "Divide eq(2) by 2 (both sides).  You will get the modified system\r\n" );
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document.write( "3x + 2y = 48,   (1')\r\n" );
document.write( "3x + 3y = 32.   (2')\r\n" );
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document.write( "Subtract eq(1) from eq(2)  (both sides).  You will get\r\n" );
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document.write( "y = 32 - 48 = -16.\r\n" );
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document.write( "Thus you just found the solution for y.\r\n" );
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document.write( "Now substitute it into either equation (1) or (2). I will substitute into eq(1). You will get\r\n" );
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document.write( "3x + 2*(-16) = 48  ====>  3x = 48 + 32 = 80  ====>  x = .\r\n" );
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document.write( "Answer.  The solution is (x,y) = (,-16).\r\n" );
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