document.write( "Question 256054: I need help with this one:\r
\n" ); document.write( "\n" ); document.write( "Find the common solution to the following pair of lines by graphing them on the same axes.\r
\n" ); document.write( "\n" ); document.write( "4x + y = 1
\n" ); document.write( "y = x + 6\r
\n" ); document.write( "\n" ); document.write( "The lines intersect at (?,? ).\r
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Algebra.Com's Answer #188214 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
I need help with this one:
\n" ); document.write( "Find the common solution to the following pair of lines by graphing them on the same axes.
\n" ); document.write( "4x + y = 1
\n" ); document.write( "y = x + 6
\n" ); document.write( "The lines intersect at (?,? ).
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document.write( "Get some points on the first line:\r\n" );
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document.write( " x  |  y\r\n" );
document.write( "-2  |  9\r\n" );
document.write( " 0  |  1\r\n" );
document.write( " 1  | -3\r\n" );
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document.write( "Get a ruler and draw a straight line through those three points,\r\n" );
document.write( "like the green line below:\r\n" );
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document.write( "---\r\n" );
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document.write( "Get some points on the second line:\r\n" );
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document.write( " x  |  y\r\n" );
document.write( "-3  |  3\r\n" );
document.write( " 0  |  6\r\n" );
document.write( " 1  |  7\r\n" );
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document.write( "Get a ruler and draw a straight line through those three points,\r\n" );
document.write( "like the blue line below:\r\n" );
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document.write( "From the point where those lines cross, draw a line segment\r\n" );
document.write( "perpendicular to the x-axis, and another perpendicular to the\r\n" );
document.write( "y-axis (the two black line segments below:\r\n" );
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document.write( "Notice that the vertical black line segment touches the x-axis at -1,\r\n" );
document.write( "and the horizontal black line segment touches the y-axis at 5.\r\n" );
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document.write( "The lines intersect at (-1,5). \r\n" );
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document.write( "Therefore the solution is x=-1 and y=5.  The solution is\r\n" );
document.write( "often written (x,y) = (-1,5).\r\n" );
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document.write( "To check, we substitute -1 for x and 5 for y in both original equations:\r\n" );
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document.write( "Substituting in the first:\r\n" );
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document.write( "That is an identity.  \r\n" );
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document.write( "Substituting in the second:\r\n" );
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document.write( "That is also an identity, so we have found the common\r\n" );
document.write( "solution to those two equations.\r\n" );
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document.write( "Edwin

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