document.write( "Question 1175863: Determine x and y such that: 2 -3 1 x-y 4 -2 4 1 -1
\n" ); document.write( " 0 -1 0 + 0 x 0 = 0 2x+y 0\r
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\n" ); document.write( "2+x-y=4 -1+x=2x+y y=3x-4
\n" ); document.write( "y=2x+x-4 b. y=-x-1 bx3 3y=-3x-3
\n" ); document.write( "a. y=3x-4 y=-7/4 and x=1/4 \n" ); document.write( "

Algebra.Com's Answer #801581 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Determine x and y such that: 2  -3  1       x-y 4  -2       4  1    -1\r\n" );
document.write( "                             0  -1  0    +  0   x   0   =   0  2x+y  0\r\n" );
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document.write( "You should equate expression in respective cells.\r\n" );
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document.write( "cell (1,1) :    2 + (x-y) = 4           (1)\r\n" );
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document.write( "cell (2,2) :   -1 +   x   = 2x + y      (2)\r\n" );
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document.write( "It is your system of equations to find x and y.\r\n" );
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document.write( "Write it in the standard form\r\n" );
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document.write( "    x - y =  2       (3)\r\n" );
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document.write( "    x + y = -1       (4)\r\n" );
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document.write( "Add equations (3) and (4) to eliminate y.  You will get\r\n" );
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document.write( "    2x = 2 + (-1) = 1  ====>  x =  0.5.\r\n" );
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document.write( "Then from (4)  y = -1 - x = -1 - 0.5 = -1.5.\r\n" );
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document.write( "ANSWER.  x= 0.5;  y= -1.5.\r\n" );
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