document.write( "Question 865384: I need to solve for both x and y\r
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document.write( "x+y=20 x=y-4 \n" );
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Algebra.Com's Answer #521665 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! x+y=20 ... Start with the first equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y-4+y=20 ... Replace x with y-4 (since x = y-4 is the second equation).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we solve for y\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y-4+y=20\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y-4=20\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y=20+4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y=24\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=24/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Once we know that y = 12, we plug this into any equation that has x,y in it to solve for x. The easiest to pick on is the one where x is already isolated.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = y-4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 12-4 ... replace y with 12 (since we just found that y = 12)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================================================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Final Answer: x = 8, y = 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer as an ordered pair is (8,12). Visually, this is where the two lines intersect. \n" ); document.write( " \n" ); document.write( " |