document.write( "Question 534618: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
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Algebra.Com's Answer #351610 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( " 4x – 8y =   48 \r\n" );
document.write( "11x + 3y = -105.5 \r\n" );
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document.write( "We start by eliminating y:\r\n" );
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document.write( "Look at the absolute values of the coefficients of x\r\n" );
document.write( "|4| = 4, |11| = 11\r\n" );
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document.write( "The least common multiple of of 4 and 11 is 44.  So if\r\n" );
document.write( "we multiply the first equation through by -11 the \r\n" );
document.write( "coefficient of y will be -44, and if we multiply\r\n" );
document.write( "the second equation through by 4, the coefficient\r\n" );
document.write( "of y will be +44, and the x-terms will cancel when adding\r\n" );
document.write( "the equations term by term.\r\n" );
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document.write( "-44x + 88y = -528 \r\n" );
document.write( " 44x + 12y = -422\r\n" );
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document.write( "      100y = -950\r\n" );
document.write( "         y = \r\n" );
document.write( "         y = \r\n" );
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document.write( "Now we start over and this time we eliminate y: \r\n" );
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document.write( " 4x – 8y =   48 \r\n" );
document.write( "11x + 3y = -105.5\r\n" );
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document.write( "Look at the absolute values of the coefficients of y\r\n" );
document.write( "|-8| = 8, |3| = 3\r\n" );
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document.write( "The least common multiple of of 8 and 3 is 24.  So if\r\n" );
document.write( "we multiply the first equation through by 3 the \r\n" );
document.write( "coefficient of y will be -24, and if we multiply\r\n" );
document.write( "the second equation through by 8, the coefficient\r\n" );
document.write( "of y will be +24, and the terms will cancel when adding\r\n" );
document.write( "the equtions term by term.\r\n" );
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document.write( " 12x - 24y =  144\r\n" );
document.write( " 88x + 24y = -844\r\n" );
document.write( "-----------------\r\n" );
document.write( "100x       = -700\r\n" );
document.write( "         x = \r\n" );
document.write( "         x = -7\r\n" );
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document.write( "So the solution is (x,y) = (-7,)\r\n" );
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document.write( "Edwin

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