Question

3 fill in the blank 6 points solve with steps. |3x - 1| = 7 as is: type your answer... or type your answer...

Explanation:

Step1: Split absolute value equation

The absolute value equation $|3x - 1| = 7$ splits into two cases:
$3x - 1 = 7$ or $3x - 1 = -7$

Step2: Solve first linear equation

Isolate $3x$, then solve for $x$:
$3x = 7 + 1$
$3x = 8$
$x = \frac{8}{3}$

Step3: Solve second linear equation

Isolate $3x$, then solve for $x$:
$3x = -7 + 1$
$3x = -6$
$x = \frac{-6}{3} = -2$

Answer:

$x = \frac{8}{3}$ OR $x = -2$