document.write( "Question 594755: What is the y intercepts of 1/2x-2/3y=6? \n" ); document.write( "

Algebra.Com's Answer #376898 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "x - y = 6\r\n" );
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document.write( "First clear of fractions by multiplying every term by the LCD of 6\r\n" );
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document.write( "6·x - 6·y = 6·6\r\n" );
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document.write( "3x - 4y = 36\r\n" );
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document.write( "Find the x intercept by substituting 0 for y and solving for x\r\n" );
document.write( "and that will be the x-coordinate of the x-intercept and the \r\n" );
document.write( "y-coordinate will be 0:\r\n" );
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document.write( "  3x - 4y = 36\r\n" );
document.write( "3x - 4(0) = 36\r\n" );
document.write( "   3x - 0 = 36\r\n" );
document.write( "       3x = 36\r\n" );
document.write( "        x = \r\n" );
document.write( "        x = 12\r\n" );
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document.write( "The x intercept is therefore (12,0)\r\n" );
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document.write( "Find the y intercept by substituting 0 for x and solving for y\r\n" );
document.write( "and that will be the y-coordinate of the y-intercept and the \r\n" );
document.write( "x-coordinate will be 0:\r\n" );
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document.write( "  3x - 4y = 36\r\n" );
document.write( "3(0) - 4y = 36\r\n" );
document.write( "   0 - 4y = 36\r\n" );
document.write( "      -4y = 36\r\n" );
document.write( "        y = \r\n" );
document.write( "        y = -9\r\n" );
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document.write( "The y intercept is therefore (0,-9) \r\n" );
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document.write( "Edwin

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