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 #130273 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
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( "---------------------
\n" ); document.write( "You determine the \"solution\" for the system of the 2 eqns. The solution is the point, or the values that satisfy both eqns. In graphical terms, it's where the 2 lines cross (these are linear, so they're straight lines).
\n" ); document.write( "x - y = 4
\n" ); document.write( "x + y = 2
\n" ); document.write( "Solve by elimination and substitution, since the coeffs are all 1's.
\n" ); document.write( "Add the 2 eqns
\n" ); document.write( "2x + 0y = 6
\n" ); document.write( "x = 3
\n" ); document.write( "---------
\n" ); document.write( "Sub x into either eqn to find y, I'll use eqn 1.
\n" ); document.write( "3 - y = 4
\n" ); document.write( "y = -1
\n" ); document.write( "---------
\n" ); document.write( "Those 2 values are the point (3,-1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );