Question

solve the equation x-10=25 and state which axiom do you use here.

Answer 1

x - 10 = 25
Adding 10 on both sides
x -10 +10= 25 + 10
x = 35


Axiom :-
If equal are added to equals then the sum is also equal

Answer 2

The solution to the equation is x = 35.

The equation x-10=25 can be solved by isolating the variable x on one side of the equation. To do this, we can add 10 to both sides of the equation to cancel out the -10 term:

x - 10 + 10 = 25 + 10

x = 35

Therefore, the solution to the equation is x = 35.

The axiom used in this solution is the addition property of equality, which states that if we add the same quantity to both sides of an equation, the equation remains true. In this case, we added 10 to both sides of the equation to isolate the variable x. The addition property of equality is a fundamental concept in algebra and is used in many mathematical proofs and problem-solving strategies.

In summary, to solve the equation x-10=25, we used the addition property of equality to add 10 to both sides of the equation and isolate the variable x.

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