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document.write( "Please...I need help solving the following \r\n" );
document.write( "system by graphing\r\n" );
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document.write( " x - 2y = 8\r\n" );
document.write( "3x - 2y = 12\r\n" );
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document.write( "1. Find the x-intercept of the first equation,\r\n" );
document.write( " by substituting y = 0 and solving for x\r\n" );
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document.write( " x - 2y = 8\r\n" );
document.write( " x - 2(0) = 8\r\n" );
document.write( " x = 8\r\n" );
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document.write( " So the x-intercept is the point (8,0) on \r\n" );
document.write( " the x-axis\r\n" );
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document.write( "2. Find the y-intercept of the first equation, \r\n" );
document.write( " by substituting\r\n" );
document.write( " x = 0 and solving for y\r\n" );
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document.write( " x - 2y = 8\r\n" );
document.write( " 0 - 2y = 8\r\n" );
document.write( " -2y = 8\r\n" );
document.write( " y = -4\r\n" );
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document.write( " So the y-intercept is the point (0, -4) on \r\n" );
document.write( " the y-axis.\r\n" );
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document.write( "Plot these two points and draw a line through them.\r\n" );
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document.write( "
\r\n" );
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document.write( "3. Find the x-intercept of the second equation, \r\n" );
document.write( " by substituting y = 0 and solving for x\r\n" );
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document.write( " 3x - 2y = 12\r\n" );
document.write( " 3x - 2(0) = 12\r\n" );
document.write( " 3x = 12\r\n" );
document.write( " x = 4 \r\n" );
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document.write( " So the x-intercept is the point (4,0) on the \r\n" );
document.write( " x-axis\r\n" );
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document.write( "4. Find the y-intercept of the second equation, \r\n" );
document.write( " by substituting x = 0 and solving for x\r\n" );
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document.write( " 3x - 2y = 12\r\n" );
document.write( " 3(0) - 2y = 12\r\n" );
document.write( " -2y = 12\r\n" );
document.write( " y = -6\r\n" );
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document.write( " So the y-intercept is the point (0, -6) on the \r\n" );
document.write( " y-axis.\r\n" );
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document.write( "Plot these two points and draw a line through them \r\n" );
document.write( "on the same set of axes.\r\n" );
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document.write( "
\r\n" );
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document.write( "Now look and see what the coordinates are of the point\r\n" );
document.write( "where the two lines cross:\r\n" );
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document.write( "You will notice that point is directly under 2 on the \r\n" );
document.write( "x-axis, and it's directly to the right of -3 on the\r\n" );
document.write( "y-axis. So the solution of the system is\r\n" );
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document.write( "(x,y) = (2,-3) \r\n" );
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document.write( "We can check that to see if it is correct. Substitute\r\n" );
document.write( "x=2 and y=-3 into both of the original equations and\r\n" );
document.write( "see if you end up with the same number on both sides.\r\n" );
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document.write( " x - 2y = 8 3x - 2y = 12\r\n" );
document.write( "(2) - 2(-3) = 8 3(2) - 2(-3) = 12\r\n" );
document.write( " 2 + 6 = 8 6 + 6 = 12 \r\n" );
document.write( " 8 = 8 12 = 12\r\n" );
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document.write( "It checks in both. \r\n" );
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document.write( "Edwin
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document.write( "![\"\"](\"/images/stars/stars-12.gif\")
