Question

The solution of a linear equation is not affected when

• A. The same numbers are added to both sides of the equation
• B. We multiply or divide both the sides of the equation by the same non-zero numbers
• C. We add a number to one side and subtract the same number from the other side of the equation
• D. We multiply one side with a number and divide the same number from the other side of the equation

Answer 1

Answer: (A), (B)

The correct options are
A

The same numbers are added to both sides of the equation

B

We multiply or divide both the sides of the equation by the same non-zero numbers

The solution of the equation remains unchanged if the same numbers are added to both sides of the equation.
Also, when we multiply or divide both the sides of the equation by the same non-zero number, the solution remains unchanged.

For example, in the equation x + 2y = 3, if we add 4 to both sides of the equation, the new equation will be x + 2y + 4 = 7. The values of x and y that satisfies the original equation will satisfy the new equation obtained as well.
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