Answer:
[tex]\boxed {t = \frac{15}{8}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]t[/tex]:
[tex]3t = 5(3 - t)[/tex]
-Use Distributive Property:
[tex]3t = 5(3 - t)[/tex]
[tex]3t = 15 - 5t[/tex]
-Take [tex]5t[/tex] and add it to [tex]3t[/tex]:
[tex]3t + 5t = 15 + 5t - 5t[/tex]
[tex]8t = 15[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8t}{8} = \frac{15}{8}[/tex]
[tex]\boxed {t = \frac{15}{8}}[/tex]
Therefore, the value of [tex]t[/tex] is [tex]\frac{15}{8}[/tex].
