It is knoyvn that x + y = 10 and that x = z.

Question:

It is knoyvn that x + y = 10 and that x = z. Show that z + y = 10.

Thinking Process

Apply the Euclid’s axiom, if equals are added to equals, the wholes are equal, to show the given result.

Solution:

We have, x+y=10 ……….(i)

and x = z ……(ii)

According to Euclid’s axioms, if equals are added to equals, the wholes are equal.

So, From Eq. (ii),

x+y=z+y ………..(iii)

From Eqs. (i) and (iii),

z+ y = 10.

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