Question

Solve the following equation and check your result:

5t − 3 = 3t − 5

Answer 1

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.