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Maths-

General

Easy

Question

Solve each equation . is the equation an identity ? Explain .
16(4-3m) = 96 (-0.5m+1)

hint Hint:

An equation is said to be an identity if an only if, for all values of x (or any other variable in the equation), the equation will be true. i.e. for all values of x (or any other variable in the equation), LHS = RHS.

The correct answer is: The given equation is not an identity.

Step-by-step solution:-
LHS = 16 (4 - 3m)
∴ LHS = (16 × 4) - (16 × 3m) .............................. [Distributive property- a (m + n) = am + an]
∴ LHS = 64 - 48m ............................................... (Equation i)
RHS = 96 (-0.5m + 1)
∴ RHS = (96 × -0.5m) + (96 × 1) …..................... [Distributive property- a (m + n) = am + an]
∴ RHS = -48m + 96
∴ RHS = 96 - 48m .............................................. (Equation ii)
From Equation i & ii, we get-
LHS ≠ RHS
Hence, the given equation is not an identity.
Final Answer:-
∴ The given equation is not an identity.

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