Solve and check result: 5t - 3 = 3t - 5

1.	Solve and check result: 5t - 3 = 3t - 5
Answer» 5t - 3 = 3t - 5 On transposing 3t to L.H.S and −3 to R.H.S, we obtain 5t − 3t = −5 − (−3) 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.

Answer»

5t - 3 = 3t - 5

On transposing 3t to L.H.S and −3 to R.H.S, we obtain 5t − 3t = −5 − (−3)

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.

Discussion