Question

It is known that $x+y=10$ and that $x=z$. Show that $z+y=10$ ? Solve the following question using appropriate Euclid’s axiom.

Answer 1

Prove the given statement :

According to the given details, we get to know that

$x+y=10$ …….…$\left(i\right)$

And, $x=z$ ……..…$\left(ii\right)$

According to Euclid’s axiom, we know that, if equals are added to equals, the wholes are equal.

So, from Equations, $\left(i\right)$ and $\left(ii\right)$

$x+y=z+y$ ….…….$\left(iii\right)$ $[x=z]$

From Equation $\left(i\right)$ and $\left(iii\right)$

$z+y=10$

Hence proved, $z+y=10$.