Question

Need help with #1 #4 #7 plz giving 15 points

Answer 1

Q1: p = - 33

Q2: d = - 99

Q3: t = - 13

Explanation:

Q1:
`$ \textbf{-} \frac{\textbf{p}}{\textbf{3}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{8} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{3}`

We solve this taking LCM.

We get:
`$ (-p - 24)/(3) = 3 $`

`$ \implies - p - 24 = 9 $`

`$ \implies \textbf{p} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 33} $`

Q4:
`$ \frac{\textbf{d}}{\textbf{11}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{4} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 13} $`

Again we proceed like Q1 by taking LCM.

We get:
`$ (d - 44)/(11) = - 13 $`

`$ \implies d - 44 = - 13 * 11 = - 143 $`

`$ \implies d = - 143 + 44 $`

`$ \implies \textbf{d} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 99} $`

Q7: 5t + 12 = 4t - 1

We club the like terms on either side.

`$ \implies 5t - 4t = - 1 - 12 $`

`$ \implies (5 -4)t = - 13 $`

`$ \implies \textbf{t} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 13} $`

Hence, the answer.