document.write( "Question 908961: Hi\r
\n" ); document.write( "\n" ); document.write( "Pl Can you show me how to solve this problem. I am not sure if the category is correct.. I just chose one.
\n" ); document.write( "5x−4y+3z=15
\n" ); document.write( "6x+2y+9z=13
\n" ); document.write( "7x+6y−6z=6\r
\n" ); document.write( "\n" ); document.write( "My email add: playatthepark@gmail.com\r
\n" ); document.write( "\n" ); document.write( "I am a mom.
\n" ); document.write( "

Algebra.Com's Answer #551432 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
5x−4y+3z=15
\n" ); document.write( "6x+2y+9z=13
\n" ); document.write( "7x+6y−6z=6
\n" ); document.write( "***
\n" ); document.write( "15x−12y+9z=45(mult. 1st eq. by 3)
\n" ); document.write( "6x+2y+9z=13(2nd eq.)
\n" ); document.write( "subtract:(eliminating z)
\n" ); document.write( "9x-14y=32(4th eq.)
\n" ); document.write( "..
\n" ); document.write( "10x−8y+6z=30(mult. 1st eq by 2)
\n" ); document.write( "7x+6y−6z=6(3rd eq)
\n" ); document.write( "add:(eliminating z)
\n" ); document.write( "17x-2y=36(5th eq.)
\n" ); document.write( "..
\n" ); document.write( "9x-14y=32(4th eq.)
\n" ); document.write( "119x-14y=252(mult. 5th eq. by 7)
\n" ); document.write( "subtract:(eliminating y)
\n" ); document.write( "-110x=-220
\n" ); document.write( "x=2
\n" ); document.write( "14y=9x-32=-14(4th eq.)
\n" ); document.write( "y=-1
\n" ); document.write( "3z=15-5x+4y=15-10-4=1(1st eq.)
\n" ); document.write( "3z=1
\n" ); document.write( "z=1/3
\n" ); document.write( "Check:x=2, y=-1, z=1/3
\n" ); document.write( "5x−4y+3z=10+4+1=15
\n" ); document.write( "6x+2y+9z=12-2+3=13
\n" ); document.write( "7x+6y−6z=14-6-2=6
\n" ); document.write( "check ok
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