Question

If we multiply both sides of the equation by the same number, the balance is ______.

Answer 1

Answer:

the balance is equal.

Please mark my answer as the branliest.

Answer 2

Answer:

If we multiply both the sides of the equation by the same number, the balance remains the same or equal.

Step-by-step explanation:

Let us consider an equation as follows:

x + y = 1 . . . . . (1)

Then, for x = 1,

⇒ 1 + y = 1

⇒ y = 0

Hence, x = 1 and y = 0 is one of the solution of the equation (1).

Now, multiply the equation (1) both the sides by the number 2 as follows:

2x + 2y = 2 ____ (2)

Since x = 1 and y = 0 is a solution the equation (1).

So,

Substitute the values x = 1 and y =0 in the equation (2) as follows:

⇒ 2(1) + 2(0) = 2

⇒ 2 + 0 = 2

⇒ 2 = 2

This implies, LHS = RHS.

Therefore, if we multiply both the sides of the equation by the same number, the balance remains the same or equal.

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