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Question

Which of the following is true regarding the solution of a linear equation if we multiply or divide both sides of the equation with a non-zero number?

A
It changes
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B
It remains the same
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C
It only changes in the case of multiplication
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D
It only changes in the case of division
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Solution

The correct option is B It remains the same
By property, if we multiply or divide both sides of a linear equation with a non- zero number, then the solution of the linear equation remains the same.

For example:
2x+3y=9 ____(i)
Multiplying equation (i) by 2 both the sides, we get
2×(2x+3y)=2×9
4x+6y=18 ___(ii)
Equation (i) is equivalent to equation (ii).

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