It is known that x + y = 10 and that x = z. Show that z + y = 10?
Note: Thinking process be like, apply the Euclid’s axiom, if equals are added to equals, the wholes are equal, to show the given result.
We have, x+y=10 …(i)
and x=z …(ii)
According to the Euclid’s axiom, if equals are added to equals, the wholes are equal.
So, from Eqs. (i) and (ii)
x+y=z+y ….(iii)
From Eqs. (i) and (iii)
Z+Y=10