document.write( "Question 175203: Can you please help me by WALKING me through how we determine that the intesect points for these two equations is (3,-1): (x - y = 4) & (x + y = 2). I need to see each step in the process of coming up with (3, -1). I know that these two points solves both equations. Thanks, Charlie \n" ); document.write( "
Algebra.Com's Answer #130274 by actuary(112)\"\" \"About 
You can put this solution on YOUR website!
(x - y = 4) & (x + y = 2). \r
\n" ); document.write( "\n" ); document.write( "Rewrite each equation to slope y-intercept form\r
\n" ); document.write( "\n" ); document.write( "x-y=4 Can be rewritten as y=x-4 (Equation #1)\r
\n" ); document.write( "\n" ); document.write( "x+y=2 Can be rewritten as y=2-x (Equation #2)\r
\n" ); document.write( "\n" ); document.write( "REplace equation #2 into Equation #1\r
\n" ); document.write( "\n" ); document.write( "so 2-x=x-4 \r
\n" ); document.write( "\n" ); document.write( "Gather all like terms on the same side of the equation\r
\n" ); document.write( "\n" ); document.write( "So 2x=6\r
\n" ); document.write( "\n" ); document.write( "Solve for x\r
\n" ); document.write( "\n" ); document.write( "x=3\r
\n" ); document.write( "\n" ); document.write( "Substitute x=3 into Equation #2\r
\n" ); document.write( "\n" ); document.write( "y=2-3=-1\r
\n" ); document.write( "\n" ); document.write( "So the solution is (3,-1)\r
\n" ); document.write( "\n" ); document.write( "I hope that this helps. This is a general approach that should work with all similar problems.\r
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