Question

algebra i with probability young ic qtr a continuous learning center - credit bearing (tutor) solving linear equations: variable on one side solving a one - variable linear equation solve the equation. pieter wrote the equation 7h - 5(3h - 8)=-72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. how many hours will it take to dig the well? 7h - 5(3h - 8)=-72 1. for parentheses: distribute 2. if necessary: combine terms 3. apply properties: add subtract multiply divide 4. to start over: reset 8 of 11 chat with a tutor submit

Explanation:

Step1: Distribute -5

\[

$$\begin{align*} 7h-5(3h - 8)&=-72\\ 7h-15h + 40&=-72 \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} (7h-15h)+40&=-72\\ -8h + 40&=-72 \end{align*}$$

\]

Step3: Subtract 40 from both sides

\[

$$\begin{align*} -8h+40 - 40&=-72-40\\ -8h&=-112 \end{align*}$$

\]

Step4: Divide both sides by -8

\[

$$\begin{align*} \frac{-8h}{-8}&=\frac{-112}{-8}\\ h& = 14 \end{align*}$$

\]

Answer:

14