Question

if we multiply or divide both sides of a linear equation by a non zero number, then the roots of linear equation will remain same is it true? if so justify with example

Answer 1

Answer:

Given statement is True.

Step-by-step explanation:

Let a linear equation in one variable x is

3x = 15 ---(1)

i ) Multiply equation (1) by 2,we get

2×3x = 2×15

=> 6x = 30

$\implies x = \frac{30}{6}$

$\implirs x = 5$

$ii) Divide \: both\: sides \: of \: equation\:(1)\\by \: 3 , we\:get$

$\implies \frac{3x}{3}=\frac{15}{3}$

$\implies x = 5$

Therefore,

If we multiply or divide both sides of a linear equation by a non zero number, then the roots of linear equation will remain same ( True )

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Answer 2

Answer:

Step-by-step explanation:

Secondary School  Math  5+3 pts

If we multiply or divide both sides of a linear equation by a non zero number, then the roots of linear equation will remain same is it true? if so justify with example

Report by Ram31 18.03.2016

Answer:

Given statement is True.

Step-by-step explanation:

Let a linear equation in one variable x is

3x = 15 ---(1)

i ) Multiply equation (1) by 2,we get

2×3x = 2×15

=> 6x = 30

\implies x = \frac{30}{6}

\implirs x = 5

ii) Divide \: both\: sides \: of \: equation\:(1)\\by \: 3 , we\:get

\implies \frac{3x}{3}=\frac{15}{3}

\implies x = 5

Therefore,

If we multiply or divide both sides of a linear equation by a non zero number, then the roots of linear equation will remain same