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  • Solve each of the following question using appropriate Euclid’s axiom: It is known that x plus y equal to 10 and that x equal to z. Show that z plus y equal to 10?

Solve each of 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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Euclid’s axiom \rightarrow According to Euclid’s axiom, if equals are added to equals, the wholes are equal.

To prove: z + y = 10

In this question given that x + y = 10, x = z.

Hence add y to both sides in x = z.

x + y = z + y

z + y = 10 (\because x + y = 10)

Hence proved

 

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