document.write( "Question 192890: X= -3Y X+Y=4 SO WHAT POINT REPRESENTS THE COMMON SOLUTION FOR THE SYSTEM OF EQUATIONS? I know the answer is (6,-2), but how did they get that answer?
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Algebra.Com's Answer #144776 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "EQN 1 : x = 3y\r
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\n" ); document.write( "\n" ); document.write( "Via Slope-Intercept Form,\"system%28y=mx%2Bb%29\"
\n" ); document.write( "\"x=-3y\"
\n" ); document.write( "\"x%2F-3=cross%28-3%29y%2Fcross%28-3%29\"
\n" ); document.write( "\"red%28y=%28-1%2F3%29x%29\"\r
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\n" ); document.write( "\n" ); document.write( "So the line has a \"Slope=m=-1%2F3=DELTA%28y%29%2FDELTA%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "Since \"b=0\", from the origin (0,0) --> one step down on y-axis(-1), then 3 steps right on x-axis(+3) for the next point.
\n" ); document.write( " ---> point (3,-1)\r
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\n" ); document.write( "\n" ); document.write( "From point (3,-1), move one step down on y-axis (-1), and 3 steps right on x-axis(+3):
\n" ); document.write( " ---> Next point (6,-2)\r
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\n" ); document.write( "\n" ); document.write( "Going back from the Origin (0,0), we move one step up on the y-axis(+1) and 3 steps to the left on x-axis(-3). this is to maintain our Slope=\"-1%2F3\".
\n" ); document.write( " ---> Next point (-3,1)\r
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\n" ); document.write( "\n" ); document.write( "From point (-3,1), another one step up (+1) and 3 steps to the left(-3):
\n" ); document.write( " ---> Next point (-6,2)\r
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\n" ); document.write( "\n" ); document.write( "We connect the points for Line \"x=-3y\"
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\n" ); document.write( "\n" ); document.write( "For the Next Line X+Y=4\r
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\n" ); document.write( "\n" ); document.write( "Let Fy=0:
\n" ); document.write( "\"x%2By=4\"
\n" ); document.write( "\"x%2B%280%29=4\" ---> \"red%28x=4%29\", X-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Let Fx=0:
\n" ); document.write( "\"0%2By=4\"
\n" ); document.write( "\"red%28y=4%29\" ,Y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "We see both Lines in the graph:
\n" ); document.write( " ---> \"red%28RED=EQN1%29\" intersects at point (6,-2) on \"green%28GREEN=EQN2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\r
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