document.write( "Question 607161: Please help!I thought I had the correct answers, but I got them wrong.
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document.write( "find the intercepts and traces for the graph 7x + 3y-z = 42\r
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document.write( "x-intercept (I had 5,0,0) y-intercept ( I had 0,2,-1) z-intercept (I had 0,0,-1)\r
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document.write( "xy trace (I had 5,2,0) yz trace (I had (0,2,-1) xz trace (I had 5,0,1)\r
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document.write( "thank you so much! \n" );
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Algebra.Com's Answer #382463 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! x-intercept: plug in y = 0 and z = 0 and solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3(0)-0 = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 0 - 0 = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 42/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the x-intercept is (6,0,0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "y-intercept: plug in x = 0 and z = 0 and solve for y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7(0) + 3y-0 = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 + 3y - 0 = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3y = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 42/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the y-intercept is (0,14,0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "z-intercept: plug in x = 0 and y = 0 and solve for z\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7(0) + 3(0)-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 + 0 - z = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-z = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z = -42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the z-intercept is (0,0,-42)\r \n" ); document.write( "\n" ); document.write( "====================================================================================\r \n" ); document.write( "\n" ); document.write( "xy trace: Plug in z = 0 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y - 0 = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the xy trace is 7x + 3y = 42 (note: this is a line and NOT a point)\r \n" ); document.write( "\n" ); document.write( "===================================================================================\r \n" ); document.write( "\n" ); document.write( "yz trace: plug in x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7(0) + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the yz trace is 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===================================================================================\r \n" ); document.write( "\n" ); document.write( "xz trace: plug in y = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3y-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 3(0)-z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 0 -z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x - z = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the xz trace is 7x - z = 42 \n" ); document.write( " |