Question

due sunday by 11:59pm points 100 submitting an external tool available until sep 21 at 11:59pm exam 1 fall25 score: 55/100 answered: 15/18 question 16 solve. separate your answers with a comma, and please write fractions in reduced form, no decimals. 3|8x - 7| = 9 question help: message instructor check answer

Explanation:

Step1: Isolate the absolute - value expression

Divide both sides of the equation $3|8x - 7|=9$ by 3.
$\frac{3|8x - 7|}{3}=\frac{9}{3}$, which simplifies to $|8x - 7| = 3$.

Step2: Set up two equations

Since $|a|=b$ ($b\geq0$) is equivalent to $a = b$ or $a=-b$, we set up two equations:
$8x - 7=3$ or $8x - 7=-3$.

Step3: Solve the first equation

For $8x - 7 = 3$, add 7 to both sides: $8x-7 + 7=3 + 7$, which gives $8x=10$. Then divide both sides by 8: $x=\frac{10}{8}=\frac{5}{4}$.

Step4: Solve the second equation

For $8x - 7=-3$, add 7 to both sides: $8x-7 + 7=-3 + 7$, which gives $8x = 4$. Then divide both sides by 8: $x=\frac{4}{8}=\frac{1}{2}$.

Answer:

$\frac{1}{2},\frac{5}{4}$