Which of the following are not a valid operation on an equation?

Multiplying both sides of an equation with a number.

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Adding 5 to the LHS and subtracting 5 from the RHS.

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Dividing both sides by the same variable.

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Dividing LHS by x and RHS by y.

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Solution

The correct options are
B Adding 5 to the LHS and subtracting 5 from the RHS.
D Dividing LHS by x and RHS by y.
The property of equality states that performing the same operation $(+, -, \times, \div)$ on both sides of an equation with the same numbers or variables does not affect the equation.

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Question 3

Which of the following is not allowed in a given equation?

(a) Adding the same number to both sides of the equation.

(b) Subtracting the same number from both sides of the equation.

(d) Dividing both sides of the equation by the same number.

The value of the variable for which LHS and RHS of an equation are equal is called ___ of an equation.

2 x + 3 = 6

2 x = 3

Inequality created by adding or subtracting a number from both sides of an inequality is not equivalent to the original inequality.

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