document.write( "Question 694858: Solve by Elimination. I was told to get rid of z first as a hint and leave as a fraction.\r
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document.write( "*w+2x+5y=11
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document.write( "-2w+x+4y+2z=-7\r
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document.write( "w+2x-2y+5z=3\r
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document.write( "-3w+x=-1\r
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document.write( "I started out like this: 5(-2w+x+4y+2z=-7)--->-10w+5x+20y+10z=-35
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document.write( " 2(w+2x-2y+5z=3) ---> 2w+4x-4y+10z=6
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document.write( "I subtracted because \"w\" are postive ____________________
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document.write( " -12w+x+24y=-41
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document.write( "the rest I'm still stuck on. Please Show How to solve for x,y,z, and w \r
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Algebra.Com's Answer #428237 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve by Elimination. I was told to get rid of z first as a hint and leave as a fraction.\r \n" ); document.write( "\n" ); document.write( "w+2x+5y=11 \n" ); document.write( " \n" ); document.write( "-2w+x+4y+2z=-7\r \n" ); document.write( "\n" ); document.write( "w+2x-2y+5z=3\r \n" ); document.write( "\n" ); document.write( "-3w+x=-1\r \n" ); document.write( "\n" ); document.write( "I started out like this: 5(-2w+x+4y+2z=-7)--->-10w+5x+20y+10z=-35 \n" ); document.write( " 2(w+2x-2y+5z=3) ---> 2w+4x-4y+10z=6 \n" ); document.write( "I subtracted because \"w\" are postive ____________________ \n" ); document.write( " -12w+x+24y=-41 \n" ); document.write( "the rest I'm still stuck on. Please Show How to solve for x,y,z, and w \n" ); document.write( "-------------- \n" ); document.write( "z was missing in 2 of the equations, so getting rid of it first makes sense. \n" ); document.write( "Now there are 3 eqns in w, x & y \n" ); document.write( "------------- \n" ); document.write( "w + 2x + 5y = 11 \n" ); document.write( "12w-x - 24y = 41 \n" ); document.write( "-3w+x = -1 \n" ); document.write( "------ \n" ); document.write( "Eliminate x since its coefficients are small. \n" ); document.write( "12w-x - 24y = 41 \n" ); document.write( "-3w+x = -1 \n" ); document.write( "-------------------- Add \n" ); document.write( "9w - 24y = 40 Eqn A \n" ); document.write( "---- \n" ); document.write( "1w + 2x + 5y = 11 \n" ); document.write( "6w - 2x = 2 ---------------- -3w+x = -1 times -2 \n" ); document.write( "---------------- Add \n" ); document.write( "7w + 5y = 13 \n" ); document.write( "9w - 24y = 40 Eqn A \n" ); document.write( "-------------- \n" ); document.write( "Now it's 2 eqns in x & y \n" ); document.write( "It's a tossup with is next to go \n" ); document.write( "I'll do the y terms \n" ); document.write( "12*(7w + 5y = 13) --> 84w + 120y = 156 \n" ); document.write( "5*(9w - 24y = 40) --> 48w - 120y = 200 \n" ); document.write( "---- \n" ); document.write( "84w + 120y = 156 \n" ); document.write( "48w - 120y = 200 \n" ); document.write( "--------------------- Add \n" ); document.write( "132w = 356 \n" ); document.write( "w = 89/33 \n" ); document.write( "----- \n" ); document.write( "Sub into either or the last 2 eqns to find y. \n" ); document.write( "Then sub for w & y to find x \n" ); document.write( "Then sub to find z\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |