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Question
Solve the following question using appropriate Euclid’s axiom:
It is known that x + y = 10 and that x = z. Show that z + y = 10?
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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 equation (ii),
x + y = z + y ...(iii)
From equations (i) and (iii),
z + y = 10.
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