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


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