Question

The value which when substituted for the variable in the given equation makes L.H.S=R.H.S is called a ____________ of the equation

Answer 1

Answer:

The value that when substituted for the variable in the given equation makes L.H.S = R.H.S is called a solution or the root of an equation.

Step-by-step explanation:

Let us suppose an equation 2x - 3 = 5.
'x' is the variable here in this equation. The solution or root of this equation will be such a value, that when placed in the place of x gives 5, i.e., the value on the right-hand side of the equation.

Now, let us find this value for x:

2x - 3 = 5

⇒ 2x = 5 + 3 = 8

⇒ x = 4

Thus, if we substitute 4 in the place of x in the equation we will get:

L.H.S

= 2x -3

= (2 × 4) - 3

= 8 - 3

= 5 = R.H.S

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