document.write( "Question 62961: Find the solution by graph:
\n" ); document.write( "4x-20=5y
\n" ); document.write( "8x-10y=12 \n" ); document.write( "

Algebra.Com's Answer #43804 by Edwin McCravy(20056) $\"\"$ $\"About$

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Find the solution by graph:\r\n" );
document.write( "4x-20=5y\r\n" );
document.write( "8x-10y=12\r\n" );
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document.write( "We make a table of values for\r\n" );
document.write( "each equation:\r\n" );
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document.write( "For 4x - 20 = 5y, we pick\r\n" );
document.write( "arbitrary values for one\r\n" );
document.write( "variable and solve for the \r\n" );
document.write( "other\r\n" );
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document.write( "  x | y  |   (x, y) \r\n" );
document.write( "-----------------------\r\n" );
document.write( "-10 | -4 | (-10, 4)\r\n" );
document.write( " -5 |  0 |  (-5, 0)\r\n" );
document.write( "  0 |  4 |   (0, 4)\r\n" );
document.write( "  5 |  8 |   (5, 8)\r\n" );
document.write( " 10 | 12 | (10, 12)\r\n" );
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document.write( "Plot those 5 points and draw a red line \r\n" );
document.write( "through them:\r\n" );
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document.write( "For 8x - 10y = 12, we pick\r\n" );
document.write( "arbitrary values for one\r\n" );
document.write( "variable and solve for the \r\n" );
document.write( "other\r\n" );
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document.write( "  x | y  |   (x, y)\r\n" );
document.write( "-------------------\r\n" );
document.write( "-11 |-10 |(-11, -10)\r\n" );
document.write( " -6 | -6 |  (-6, -6)\r\n" );
document.write( " -1 | -2 |  (-1, -2)\r\n" );
document.write( "  4 |  2 |    (4, 2)\r\n" );
document.write( "  9 |  6 |    (9, 6)\r\n" );
document.write( " 15 | 16 |  (15, 16)\r\n" );
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document.write( "Plot those 6 points on the same \r\n" );
document.write( "set of axes and draw a green line \r\n" );
document.write( "through them:\r\n" );
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document.write( " \r\n" );
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document.write( "Now to find the solution we would\r\n" );
document.write( "have to find a point where the\r\n" );
document.write( "red and green lines cross.  However\r\n" );
document.write( "this is impossible because the two \r\n" );
document.write( "lines are parallel and do not cross.\r\n" );
document.write( "Therefore there is no solution.  We\r\n" );
document.write( "call such a system \"inconsistent\".\r\n" );
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document.write( "Edwin

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