Question

week 6: solving linear equations pt. 2
due sunday by 11:59pm points 10 submitting an external tool
solve the following equation for x:
-1 = \frac{7x}{3} + 1
select the correct answer below:
\bigcirc -\frac{3}{7}
\bigcirc 0
\bigcirc \frac{6}{7}
\bigcirc -\frac{12}{7}
\bigcirc -\frac{6}{7}

Explanation:

Step1: Subtract 1 from both sides

$$\begin{align*} -1 - 1&=\frac{7x}{3}+1 - 1\\ -2&=\frac{7x}{3} \end{align*}$$

Step2: Multiply both sides by 3

$$\begin{align*} -2\times3&=\frac{7x}{3}\times3\\ -6&=7x \end{align*}$$

Step3: Divide both sides by 7

$$\begin{align*} x&=\frac{-6}{7}=-\frac{6}{7} \end{align*}$$

Answer:

$-\frac{6}{7}$