document.write( "Question 1093164: Are the two equations -6+y=2x and 2y-4x12 dependent? \n" ); document.write( "
Algebra.Com's Answer #707782 by addingup(3677)\"\" \"About 
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-6+y=2x
\n" ); document.write( "y = 2x-6
\n" ); document.write( "y = 2(0)-6 = (0, -6) we now have one ordered pair, one dot in the graph.
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\n" ); document.write( "-6+y = 2x
\n" ); document.write( "2x = -6+y
\n" ); document.write( "x = 1/2(-6+y)
\n" ); document.write( "x = 1/2(-6+0) = (-3, 0) now we have a second dot in the graph, we can draw a line
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\n" ); document.write( "2y-4x=12 I think you're missing a sign between 4x and 12, is it = ?
\n" ); document.write( "I'll assume it is:
\n" ); document.write( "2y-4x = 12
\n" ); document.write( "2y = 4x + 12
\n" ); document.write( "y = 2x + 6
\n" ); document.write( "y = 2(0)+6, (0, 6)
\n" ); document.write( "2y-4x = 12
\n" ); document.write( "-4x = 12-2y
\n" ); document.write( "x = -3-1/2y
\n" ); document.write( "x = -3-(1/2(0)), (-3, 0)
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\n" ); document.write( "So, from the two equations we have two ordered pairs. What do you notice about these two sets of ordered pairs?
\n" ); document.write( "The first equation: (0,-6),(-3,0)
\n" ); document.write( "The second equation: (0,-6),(-3,0)
\n" ); document.write( "We got the same set of ordered pairs.
\n" ); document.write( "How do you know if a system of equations is dependent? When you graph the equations, both equations represent the same line.
\n" ); document.write( "Make a graph of the two sets of ordered pairs. Do they represent the same line? \n" ); document.write( "
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