Question

If ab=bc and bx=by.show that ax=cy.state the euclids axioms used

Answer 1

Hola

Here is your answer

Given- ab=bc, bx=by

To prove- ax= by

Proof - ab=bc ... Given. 1.

bx=by ...... Given

Subtracting 1 and 2.

ax -bx=bc-by

ax= cy

Hence proved.

Axiom used is

If equals are subtracted from equals then the remainders are equal.

Hope it helps you

Adios ✌

Answer 2

Hey there !

Solution:

Given that,

AB = BC

BX = BY

Subtracting (2) from (1) we get,

=> AB - BX = BC - BY

=> AX = CY

Hence Proved !

Axiom used: If equals are subtracted from equals, then the remainders are also equal.

Hope my answer helped !