Question

If x+y=10 then prove that x+y+z=10+z​

Answer 1

LHS

x+y=10

x+y+z=10+z= RHS

HENCE PROVED

Answer 2

If equals are added to equals then the result is equal.

x+y=10

And y+z=10. ( x=y=z) euclid's second axiom

x+z=10

If x=5 therefore

y=5

z=5

x+y+z=10+z

5+5+5=10+5

15=15

Thus proved

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