Maths-

General

Easy

Question

In the given equation, is a constant. If the equation has infinitely many solutions, what is the value of ?

- 2
- 4
- 8
- 16

## The correct answer is: 16

### If a linear equation has infinitely many solutions, LHS = RHS

Step-by-step solution:-

Simplifying the given equation, we get-

∴ 4x + b = 2 (2x + 8) ------------- (Multiplying both the sides with 2)

∴ 4x + b = 4x +16 ------------- (equation i)

In the adjacent table, we substitute the values of x & y in equation i above and check whether LHS = RHS.

Final Answer:-

Option D i.e. 16 is the correct Option.

Note:-

Alternatively, we can apply Identity principle i.e. When the equation is simplified, the coefficient of x on LHS and RHS should be equal and the constants on LHS & RHS should be equal

∴ by comparing the constants of LHS and RHS, we get-

b = 16

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