document.write( "Question 816881: please help......solve the following system of equations by graphing: 2x-y=8
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document.write( " y=2
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document.write( "and please show step by step work.. I tired it on my own but I could not figure it out\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #491779 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! First solve the first equation for y. \n" ); document.write( "2x-y=8 \n" ); document.write( "Subtract 2x from each side. \n" ); document.write( " -y = -2x + 8 \n" ); document.write( "Multiply each side by -1 \n" ); document.write( " y = 2x -8 \n" ); document.write( "To plot this equation, use the fact that the y \n" ); document.write( "intercept is (0,-8). Since the slope is 2, \n" ); document.write( "beginning at the point (0,-8) move to the right 1 \n" ); document.write( "and up 2. You will now be at the point (1,-6). \n" ); document.write( "Draw a line through (0,-8) and (1,-6). \n" ); document.write( "Now graph the line y=2. This is just a horizontal \n" ); document.write( "line 2 units above the x axis. \n" ); document.write( "Where the two lines intersect is the solution.\r \n" ); document.write( "\n" ); document.write( "You can check your solution by considering \n" ); document.write( "the two equations \n" ); document.write( "y=2 and y = 2x -8 \n" ); document.write( "Set the right hand sides to be equal \n" ); document.write( "and we have \n" ); document.write( " 2 = 2x - 8 \n" ); document.write( "Add 8 to each side. \n" ); document.write( " 2 + 8 = 2x - 8 + 8 \n" ); document.write( " 10 = 2x \n" ); document.write( "So x = 5. Of course y = 2 . \n" ); document.write( " |