document.write( "Question 1065057: Hi, my name is Sierra. It says I have to solve the system of linear equations by graphing. The equations are 4x-4y=20, y=5. I am not sure how to solve, please at least give the the x and y of each with the slope. Thank you
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Algebra.Com's Answer #680182 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Hi, my name is Sierra. It says I have to solve the system of linear equations by graphing. The equations are 4x-4y=20, y=5.
\n" ); document.write( "I am not sure how to solve, please at least give the the x and y of each with the slope. Thank you
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document.write( "Hi, Sierra.\r\n" );
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document.write( "You are given these two equations:\r\n" );
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document.write( "4x - 4y = 20,      (1)\r\n" );
document.write( "      y =  5.      (2)\r\n" );
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document.write( "Let me simplify the equation (1) by dividing its both sides by 4. You will get an equivalent system\r\n" );
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document.write( "x - y = 5,         (1')\r\n" );
document.write( "    y = 5.         (2')\r\n" );
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document.write( "Let me explain how to solve it graphically.\r\n" );
document.write( "From eq.(2') you have \r\n" );
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document.write( "y = x - 5.      \r\n" );
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document.write( "It represents the straight line with the slope 1 (red line in the plot below).\r\n" );
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document.write( "The line y = 5, which is the equation (2'), is the horizontal line (green line in the plot).\r\n" );
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document.write( "Plots y = x - 5 (red line) and y = 5 (green line)\r\n" );
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document.write( "The solution is x = 10, y = 5  (the intersection of the thwo straight lines).\r\n" );
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document.write( "You can check the solution manually.\r\n" );
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\n" ); document.write( "\n" ); document.write( "\"Addingup\", double check your plot and your writing!!\r
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