Question

Solve the equation:
3/4|8t-12|=6(t-1)

Answer 1

t = 1.25

Explanation:

Using the distributive property yields

`|6t-9|=6t-6`

If 6t-9>0, the equation will have no solutions (since the coefficients of t will be the same, but the constant terms will be different).

So, we only need to consider when 6t-9<0, meaning |6t-9|9-6t.

`9-6t=6t-6 \\ \\ 15=12t \\ \\ t=1.25`