Find the value of x, y, z from the following.
xx[y + (4)] = [(5) (-7)] + [5 x z]
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Hi ,
It is given that ,
x = -4/7 , y = -3/8 , z = 16/5
i ) x × ( y × z )
= ( -4/7 ) × [ ( - 3/8 ) × ( 16/5 ) ]
= ( -4/7 ) × ( -6/5 )
= 24/35 -------( 1 )
ii ) ( x × y ) × z
= [ ( - 4/7 ) × ( -3/8 ) ] × ( 16/5 )
= ( 12/56 ) × ( 16/5 )
= ( 12 × 16 )/( 56 × 5 )
= 24/35----( 2 )
From ( 1 ) and ( 2 ) , we conclude that,
x × ( y × z ) = ( x × y ) × z
[ Associative proporty under multiplication ]
I hope this helps you.
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