Question

Pleasee help me

2t+ 1 = 3t-1 + 3
3 4

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Answer 1

t = - 2

Explanation:

`(2t + 1)/(3) = ((3t-1) + 3)/(4)`

First we need to cross multiply to get rid of the division to make it easier to solve.

Multiply 2t+1 by 4 and (3t-1) + 3 by 3

4 ( 2t + 1 ) = 3 ( ( 3t - 1 ) + 3 ) On the right we need to combine terms.

4 ( 2t + 1 ) = 3 ( 3t - 1 + 3 )

4 ( 2t + 1 ) = 3 ( 3t + 2 ) Multiply

4 * 2t + 4 * 1 = 3 * 3t + 3 * 2 Remember order of operations. Multiplication comes before addition and subtraction.

4 * 2t + 4 * 1 = 3 * 3t + 3 * 2

8t + 4 = 9t + 6 Subtract 8t from each side

8t - 8t + 4 = 9t - 8t + 6

4 = t + 6 Subtract 6 from each side

4 - 6 = t + 6 - 6

4 - 6 = t

- 2 = t

Answer 2

t = -1

Explanation:

`2t + 1 = 3t - 1 + 3`

Collect like terms and simplify

`2t - 3t = - 1 + 3 - 1 \\ - t = 1`

Divide through by -1

`( - t)/( - 1) = ( 1)/( - 1) \\ t = - 1`