In this question , we have the formula of acceleration given, which is
[tex] a = \frac{v_{1} - v_{0}}{t} [/tex]
And we have to solve for [tex] v_{0} [/tex]
First we need to get rid of denominator t from right side and for that, we multiply both sides by t, that is
[tex] at = v_{1} - v_{0} [/tex]
Now to solve for v1 , we need to get rid of v0, and for that , we add v0 to both sides, that is
[tex] v_{1} = at + v_{0} [/tex]
And that's the required answer.