Question

please solve (i) i will follow you if you solve

Answer 1

Take RHS=(x+y)+z and LHS = x+(y+z)
RHS=(x+y)+z
=(-2/3+7/4)+-3/5
Now take LCM of 3 and 4, we found that 4 and 3 does not come in the table of any one so theLCM is multiplication of 4 and 3 that is 12.
=(-8+21/12)-3/5
=13/12-3/5
=65-36/60
=29/60
RHS=29/60

Now,simplify the LHS
LHS=-2/3+(7/4+-3/5)
=-2/3+(7/4-3/5)
=-2/3+(35-12/20)
=-2/3+23/20
=-40+69/60
=29/60
So LHS=29/60
Therefore LHS=RHS

Answer 2

(x+y)+z = x+(y+z)

x = -⅔ , y = 7/4 , z = -3/5

Take LHS:-

(x+y)+z

= (-2/3 + 7/4) + (-3/5)

= (-2/3 × 4/4 + 7/4 × 3/3) - 3/5

= (-8/12 + 21/12) - 3/5

= (-8+21)/12 - 3/5

= 13/12 - 3/5

= 65/60 - 36/60

= (65-36)/60

= 29/60

RHS:-

x+(y+z)

= -2/3 + (7/4 + (-3/5))

= -2/3 + (7/4 - 3/5)

= -2/3 + (35/20 - 12/20)

= -2/3 + 23/20

= -2/3×20/20 + 23/20×3/3

= -40/60 + 69/60

=(-40+69)/60

= 29/60

LHS = RHS

(x+y)+z = x+(y+z)

Hence verified!