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 the same. Is it true ? If so justify with an example​

Answer 1

✰ Qᴜēsᴛíõñ :-

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

✪ Söʟúᴛîøɴ :-

Let linear equation : 2x + 8 = 11

It's solution is

2x = 11 - 8 ➙ 2x = 3 So x = 3/2

Let the 2x + 8 = 11 linear equation is multiplied by 10 on both sides.

(2x + 8 = 11) 10 = 20x + 80 = 110

➙ 20x = 110 - 80 = 30

Then x = 30/20 = 3/2

So its solution doesn't change.

Hence, the given equation is true

Answer 2

Linear equation: 2X+8 = 11

Solution:

2X = 11 - 8

2X = 3

so,

$x = \frac{3}{2}$

Linear equation = 2x+8=11 (Multiplying 10 on both side)

2X+8=11×10

= 20x + 80=110

20 x = 110-80

$x = \frac{30}{20}$

$x = \frac{3}{2}$

so, solution doesn't change