document.write( "Question 195166This question is from textbook
\n" ); document.write( ": Can you please help me with this.
\n" ); document.write( "The directions say solve each system algebraically.\r
\n" ); document.write( "\n" ); document.write( "\"2x-y%2Bz=11\"
\n" ); document.write( "\"x%2B2y%2B3z=8\"
\n" ); document.write( "\"3x-4y-5z=-2\" \n" ); document.write( "
Algebra.Com's Answer #146446 by anantha(86)\"\" \"About 
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sol: 2x-y+z=11 this is 1st equation
\n" ); document.write( " x+2y+3z=8 this is 2nd equation
\n" ); document.write( "3x-4y-5z=-2 this is 3rd equation
\n" ); document.write( "let us solve 1st and 2nd equations
\n" ); document.write( " 2x-y+z=11
\n" ); document.write( " x+2y+3z=8
\n" ); document.write( "multiplying 2nd equation by 2 on both sides we get
\n" ); document.write( "2x+4y+6z=16
\n" ); document.write( "subtract this value from 1st equation means change the symbols(i.e; write - instead of +)
\n" ); document.write( " 2x-y+z=11
\n" ); document.write( " -2x-4y-6z= -16
\n" ); document.write( "---------------------
\n" ); document.write( " 0x-5y-5z=-5 this is 4th euation
\n" ); document.write( "let us solve 2nd and 3rd equations
\n" ); document.write( "x+2y+3z=8
\n" ); document.write( "3x-4y-5z=-2
\n" ); document.write( "multiplying 2nd equation by 3
\n" ); document.write( "3x+6y+9z=24
\n" ); document.write( "3x-4y-5z=-2
\n" ); document.write( "subtracting these two equations means change the symbols of 3rd equation
\n" ); document.write( "3x+6y+9z=24
\n" ); document.write( "-3x+4y+5z=+2
\n" ); document.write( "----------------
\n" ); document.write( "0x+10y+14z=26 this is 5 th equation
\n" ); document.write( "now solving 4th and 5th equations
\n" ); document.write( "multiplying 4t equation by 2
\n" ); document.write( "0x-10y-10z= -10
\n" ); document.write( "0x+10y+14z= 26
\n" ); document.write( "------------------ adding these two we get
\n" ); document.write( "0x+0y+4z=16
\n" ); document.write( "4z=16
\n" ); document.write( "dividing both sides by 4
\n" ); document.write( "4z/4=16/4
\n" ); document.write( "z=4
\n" ); document.write( "substitute this value in 4th equation
\n" ); document.write( "0x-5y-5z=-5
\n" ); document.write( "0x-5y-5*(4)=-5
\n" ); document.write( "-5y-20=-5
\n" ); document.write( "add 20 on both sides
\n" ); document.write( "-5y-20+20=-5+20
\n" ); document.write( "-5y=-15
\n" ); document.write( "5y=15
\n" ); document.write( "dividing by 5 on both sides
\n" ); document.write( "5y/5=15/5
\n" ); document.write( "y=3
\n" ); document.write( "substitute y and z values in 1st equation
\n" ); document.write( "2x-y+z=11
\n" ); document.write( "2x-3+4=11
\n" ); document.write( "2x+1=11
\n" ); document.write( "subtract 1 on both sides
\n" ); document.write( "2x+1-1=11-1
\n" ); document.write( "2x=10
\n" ); document.write( "dividing by 2 on both sides
\n" ); document.write( "2x/2=10/2
\n" ); document.write( "x=5
\n" ); document.write( "x=5,y=3,z=4
\n" ); document.write( "check these values satisfy the equation or not
\n" ); document.write( "2x-y=z=11
\n" ); document.write( "2*5-3+4=11
\n" ); document.write( "10-3+4=11
\n" ); document.write( "7+4=11
\n" ); document.write( "11=11
\n" ); document.write( "these values satisfy the equation
\n" ); document.write( " \n" ); document.write( "
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