Question

question

1. solve the equation, $10 = | d + 7 |$, for the variable, $d$.

answer attempt 2 out of 2

Explanation:

Step1: Apply absolute value rule

If $|x| = a$ ($a>0$), then $x=a$ or $x=-a$. So:
$d + 7 = 10$ or $d + 7 = -10$

Step2: Solve first equation

Isolate $d$ by subtracting 7:
$d = 10 - 7$
$d = 3$

Step3: Solve second equation

Isolate $d$ by subtracting 7:
$d = -10 - 7$
$d = -17$

Answer:

$d = 3$ or $d = -17$