document.write( "Question 134231: y= 3x-4
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document.write( "y= -2x+1 \n" );
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Algebra.Com's Answer #98158 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! You said word problem. Where is the word problem?\r \n" ); document.write( "\n" ); document.write( "You have a system of linear equations in two variables:\r \n" ); document.write( "\n" ); document.write( "y= 3x-4 \n" ); document.write( "y= -2x+1\r \n" ); document.write( "\n" ); document.write( "What are the two variables? The two variables are x and y. We must find their value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are blessed to have both equations expressed in terms of y.\r \n" ); document.write( "\n" ); document.write( "Since we know BOTH equations for y, equate them and solve for x.\r \n" ); document.write( "\n" ); document.write( "3x - 4 = -2x + 1\r \n" ); document.write( "\n" ); document.write( "3x + 2x = 4 + 1\r \n" ); document.write( "\n" ); document.write( "5x = 5\r \n" ); document.write( "\n" ); document.write( "x = 5/5\r \n" ); document.write( "\n" ); document.write( "x = 1\r \n" ); document.write( "\n" ); document.write( "We just found the value of x.\r \n" ); document.write( "\n" ); document.write( "Now, plug x = 1 into EITHER equation and simplify.\r \n" ); document.write( "\n" ); document.write( "I choose y = 3x - 4.\r \n" ); document.write( "\n" ); document.write( "y = 3(1) - 4\r \n" ); document.write( "\n" ); document.write( "y = 3 - 4\r \n" ); document.write( "\n" ); document.write( "y = -1\r \n" ); document.write( "\n" ); document.write( "The solution for this system of equations is the point (1, -1).\r \n" ); document.write( "\n" ); document.write( "What does the point (1, -1) really mean?\r \n" ); document.write( "\n" ); document.write( "The point (1, -1) indicates the location where the two equations meet or cross each other on the xy-plane after they are graphed.\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |