document.write( "Question 94475: Solve the system of equations. Check your solution.\r
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\n" ); document.write( "\n" ); document.write( "-x+y-3z= -4
\n" ); document.write( "3x-2y+8z= 14
\n" ); document.write( "2x-6y+5z= -3 \n" ); document.write( "
Algebra.Com's Answer #68955 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
-x + y - 3z = -4
\n" ); document.write( "3x - 2y+ 8z = 14
\n" ); document.write( "2x- 6y+ 5z = -3
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\n" ); document.write( "Multiply the 3rd equation by -1 and add all three equations
\n" ); document.write( "-x + y - 3z = -4
\n" ); document.write( "3x - 2y+ 8z = 14
\n" ); document.write( "-2x +6y- 5z = +3
\n" ); document.write( "-------------------Adding eliminates x and z, find y:
\n" ); document.write( "0x + 5y + 0z = +13
\n" ); document.write( "y = 13/5
\n" ); document.write( "y = 2.6
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\n" ); document.write( "substitute 2.6 for y in the 1st equation
\n" ); document.write( "-x + 2.6 - 3z = -4
\n" ); document.write( "-x - 3z = -4 - 2.6
\n" ); document.write( "-x - 3z = -6.6
\n" ); document.write( "x + 3z = 6.6: multiplied by -1 to get rid all those negatives
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\n" ); document.write( "Do the same in the 2nd equation
\n" ); document.write( "3x -2(2.6) + 8z = 14
\n" ); document.write( "3x - 5.2 + 8z = 14
\n" ); document.write( "3x + 8z = 14 + 5.2
\n" ); document.write( "3x + 8z = 19.2
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\n" ); document.write( "Multiply 1st two unknown equation by 3, subtract from the 2nd two unk equaiton
\n" ); document.write( "3x + 9z = 19.8
\n" ); document.write( "3x + 8z = 19.2
\n" ); document.write( "-------------------subtracting eliminates x, find z
\n" ); document.write( "0x + 1z = +.6
\n" ); document.write( "z = .6
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\n" ); document.write( "Use 3x - 2y + 8z = 14 to find x
\n" ); document.write( "3x - 2(2.6) + 8(.6) = 14
\n" ); document.write( "3x - 5.2 + 4.8 = 14
\n" ); document.write( "3x - .4 = 14
\n" ); document.write( "3x = 14 + .4
\n" ); document.write( "3x = 14.4
\n" ); document.write( "x = 14.4/3
\n" ); document.write( "x = 4.8
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\n" ); document.write( "Our solution: x = 4.8; y = 2.6; z = .6
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\n" ); document.write( "You should check our solutions in one of the original equations\r
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