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Question
Solve the following equation and check your result:
5t − 3 = 3t − 5
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Solution
5t − 3 = 3t − 5
On transposing 3t to L.H.S and −3 to R.H.S, we obtain
5t − 3 − 3t = − 5
2t − 3 = −5
2t = −2
On dividing both sides by 2, we obtain
t = −1
L.H.S = 5t − 3 = 5 × (−1) − 3
= −8
R.H.S = 3t − 5
= 3 × (−1) − 5
= − 3 − 5
= − 8
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
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