Question

Please show you work for both questions please.

Answer 1

4. 8-5t=78

-5t+8=78

-5t+8-8=78-8

-5t=70

-5t/-5 = 70/-5

t= -14

5. 16=-3t-8

16+8=-3t-8+8

24=-3t

24/-3=-3t/-3

t = -8

Answer 2

4. t = -14

5. t = -8

Explanation:

Question 4

`\boxed{\begin{aligned}&\textsf{Given equation}: & 8-5t&=78\\\\&\textsf{Subtract $8$ from both sides}: \quad & 8-5t-8&=78-8\\\\&\textsf{Simplify}: & -5t&=70\\\\&\textsf{Divide both sides by $-5$}: & (-5t)/(-5)&=(70)/(-5)\\\\&\textsf{Simplify}: &t&=-14 \end{aligned}}`

Question 5

`\boxed{\begin{aligned}&\textsf{Given equation}: & 16&=-3t-8\\\\&\textsf{Add $3t$ to both sides}: & 16+3t&=-3t-8+3t\\\\&\textsf{Simplify}: & 16+3t&=-8\\\\&\textsf{Subtract $16$ from both sides}: \quad& 16+3t-16&=-8-16\\\\&\textsf{Simplify}: & 3t&=-24\\\\ &\textsf{Divide both sides by $3$}: & (3t)/(3)&=(-24)/(3)\\\\ &\textsf{Simplify}: & t&=-8\end{aligned}}`