document.write( "Question 846536: Let x, y, and z be vectors in a vector space V.
\n" ); document.write( "Prove that if:
\n" ); document.write( "x + y = x + z
\n" ); document.write( "then y = z. \n" ); document.write( "

Algebra.Com's Answer #509781 by rothauserc(4718) $\"\"$ $\"About$

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use additive inverse of x which is -x, then
\n" ); document.write( "x -x + y = x -x + z
\n" ); document.write( "0 + y = 0 + z
\n" ); document.write( "use additive identity, 0 + y = y, 0 + z = z, therefore
\n" ); document.write( "y = z
\n" ); document.write( " \n" ); document.write( "

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