"If we multiply or divide both sides of a linear equation by a non-zero number, then the roots of that linear equation will remain the same."
Is it true? If so, justify with an example.

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Solution

Yes, it is true.
For example,
$2 x = 2$ has root $x = 1$
On multiply both sides by $3$ , we get
$6 x = 6$
$\Rightarrow x = 6 / 6 = 1$

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Q. 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?

Question 16
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:

A) Changes
B) Remains the same
C) Only changes in case of multiplication
D) Only changes in case of division

Question 16
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:

A) Changes
B) Remains the same
C) Only changes in case of multiplication
D) Only changes in case of division

Q. State true or false:

If we multiply both sides of an equation by zero, then we can create an equivalent equation.

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"If we multiply or divide both sides of a linear equation by a non-zero number, then the roots of that linear equation will remain the same."Is it true? If so, justify with an example.

Yes, it is true. For example,2x=2 has root x=1On multiply both sides by 3, we get6x=6⇒x=6/6=1

"If we multiply or divide both sides of a linear equation by a non-zero number, then the roots of that linear equation will remain the same."
Is it true? If so, justify with an example.

Yes, it is true.
For example,
$2 x = 2$ has root $x = 1$
On multiply both sides by $3$ , we get
$6 x = 6$
$\Rightarrow x = 6 / 6 = 1$