document.write( "Question 45685: solve the system
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\n" ); document.write( "4x+y=-5
\n" ); document.write( "4x-z=3
\n" ); document.write( "y+z=-8
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Algebra.Com's Answer #30418 by venugopalramana(3286)\"\" \"About 
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4x+y=-5 ......I
\n" ); document.write( "4x-z=3 ........II
\n" ); document.write( "y+z=-8 .........III
\n" ); document.write( "EQN.I-EQN.II
\n" ); document.write( "Y+Z=-5-3=-8........IV
\n" ); document.write( "EQN.III-EQN.IV
\n" ); document.write( "0=-8+8=0......THE EQNS ARE DEPENDENT AND CONSISTENT..HENCE INFINITE SOLUTIONS
\n" ); document.write( "GIVE ANY VALUE TO Y SAY 0
\n" ); document.write( "Z=-8-0=-8
\n" ); document.write( "4X=-5
\n" ); document.write( "X=-5/4
\n" ); document.write( "HENCE X=-5/4,Y=0,Z=-8 IS A SOLUTION SET
\n" ); document.write( "IN GENERAL GIVING ANY VALUE TO Y THE SOLUTION SET IS
\n" ); document.write( "Y=Y ANY VALUE
\n" ); document.write( "Z=-8-Y
\n" ); document.write( "X=(-5-Y)/4...IS A SOLUTION SET
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