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)![]() ![]() 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( " |