Suppose x + 5 = y + 5, where x and y are lengths in cm. Using Euclid's axiom that 'equals subtracted from equals leave equal remainders', what can we conclude about x and y?

Question

Accepted Answer

x = y. Subtract the equal quantity 5 from both equal sides: (x+5) - 5 = (y+5) - 5, giving x = y.

Suppose $x + 5 = y + 5$ , where $x$ and $y$ are lengths in cm.
Using Euclid's axiom that 'equals subtracted from equals leave equal remainders', what can we conclude about $x$ and $y$ ?

Step-by-Step Solution

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More Class 9 Euclid's Axioms practice

Suppose x+5=y+5, where x and y are lengths in cm.Using Euclid's axiom that 'equals subtracted from equals leave equal remainders', what can we conclude about x and y?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

Suppose $x + 5 = y + 5$ , where $x$ and $y$ are lengths in cm.
Using Euclid's axiom that 'equals subtracted from equals leave equal remainders', what can we conclude about $x$ and $y$ ?