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If 5t - 3 = 3t - 5, then choose the correct value of t from the given options, for which the equation holds true.

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– 2

- 1

answer is B.

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Detailed Solution

The given linear equation as follows,

5 t − 3 = 3 t − 5

.
Adding 3 on both sides of the equation, we get

5 t − 3 + 3 = 3 t − 5 + 3

5 t = 3 t − 2

Next, subtracting 3t from each side of the equation, we get

5 t − 3 t = 3 t − 2 − 3 t

2 t = − 2

Now, dividing both sides of the equation by 2, we get,

2 t 2 = − 2 2 t = − 1

Therefore,

t = − 1

is the solution of

5 t − 3 = 3 t − 5

.
Hence, the correct option is (2).

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