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In Mathematics / Middle School | 2014-10-04

Is the equation \(4(3m+4)=2(6m+8)\) an identity or does it have no solution?

Asked by Taylor13

Answer (3)

its identity because both sides equal each other once you work them out 12m+16=12m+16

Answered by Quizmaster018 | 2024-06-10

Identity means equation that is always true. No Solution is a equation that is not true. So, First get rid of the parenthesis.
4 (3m + 4) = 2 (6m + 8) 12m +16 = 12m +16 12m - 12m = 16 - 16 0 = 0 .............which is true
So it is a identity.

Answered by rabinshrestha41 | 2024-06-10

The equation 4 ( 3 m + 4 ) = 2 ( 6 m + 8 ) is an identity because both sides simplify to the same expression. This means it holds true for all values of the variable m . Therefore, it is valid for any substitution of m .
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Answered by Anonymous | 2025-01-10