document.write( "Question 165401: Below are the equations that I need assistance with...\r
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document.write( "1. 2x+y-3z=-4\r
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document.write( "2. 4x-2y+z=9\r
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document.write( "3. 3x+5y-3z=5\r
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document.write( "Below are the instructions to solving the problems. I am supposed to solve for x, y, and z. The answer should be the same for x, y, and z in all three equations. For instance, if x is 2, y is 5, and z is 3 in problem #1, the answer should be the same for the last two problems. My professor explained this to me, but when I tried to solve it, I did not receive the correct answer. Please help me. I would really appreciate it. I need this answer for my class as soon as possible...\r
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document.write( "1.Choose two of the three equations so that one of the variables is eliminated (use addition method).\r
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document.write( "2.Repeat step one with two different equations to eliminate the same variable.\r
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document.write( "3.Use the equation resulting from steps 1 & 2 to solve for one of the variables.\r
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document.write( "4.Substitute the variable in step 3 into equation to solve for a second variable.\r
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document.write( "5.Substitute the values from steps 3&4 into equations 1, 2, or 3 to solve for the final variable. \n" );
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Algebra.Com's Answer #121934 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 1. 2x+y-3z=-4 \n" ); document.write( "2. 4x-2y+z=9 \n" ); document.write( "3. 3x+5y-3z=5 \n" ); document.write( "-------------- \n" ); document.write( "Multiply eqn 2 by 3 \n" ); document.write( "12x-6y+3z=27 \n" ); document.write( "Add to eqn 1 and to eqn 3 \n" ); document.write( "1. 2x+y-3z=-4 \n" ); document.write( " 12x-6y+3z=27 \n" ); document.write( " 14x-5y = 23 No z term \n" ); document.write( "------------- \n" ); document.write( "3. 3x+5y-3z=5 \n" ); document.write( " 12x-6y+3z=27 \n" ); document.write( " 15x-y = 32 No z here either \n" ); document.write( "Now there are 2 eqns in 2 unknowns: \n" ); document.write( "14x-5y = 23 \n" ); document.write( "15x- y = 32 Multiply this by 5 to get the same y coefficient \n" ); document.write( "75x-5y = 160 \n" ); document.write( "14x-5y = 23 Subtract this from it \n" ); document.write( "61x = 137 \n" ); document.write( "x = 137/61 Answer for x \n" ); document.write( "Sub x into 15x -y = 32 \n" ); document.write( "15*(137/61) - y = 32 \n" ); document.write( "y = (15*137 - 32*61)/61 \n" ); document.write( "y = 103/61 Answer for y \n" ); document.write( "Sub x and y into any of the 3 original eqns, I'll use #1 \n" ); document.write( "1. 2x+y-3z=-4 \n" ); document.write( "2*(137/61) + (103/61) - 3z = -244/61 \n" ); document.write( "-3z = (-244 - 274 - 103)/61 \n" ); document.write( "-3z = -621/61 \n" ); document.write( "z = 207/61 \n" ); document.write( " \n" ); document.write( " |