Question

week 6: solving linear equations pt. 2
due sunday by 11:59pm points 10 submitting an external tool
$-\frac{3}{4} = \frac{3x}{4} + \frac{11}{8}$
select the correct answer below:
$-\frac{41}{6}$
$-\frac{17}{6}$
$\frac{7}{6}$
$-1$
$-\frac{11}{6}$
$-\frac{3}{2}$

Explanation:

Step1: Eliminate the denominators

Multiply each term in the equation \(-\frac{3}{4}=\frac{3x}{4}+\frac{11}{8}\) by \(8\) (the least - common multiple of \(4\) and \(8\)).

$$
LATEXBLOCK0
$$

Step2: Isolate the variable term

Subtract \(11\) from both sides of the equation.

$$
LATEXBLOCK1
$$

Step3: Solve for \(x\)

Divide both sides of the equation by \(6\).

$$x =-\frac{17}{6}$$

Answer:

\(-\frac{17}{6}\)