Question

Solve the absolute value equation 13−4|15+3x|+3=16
13
−
4
|
15
+
3
𝑥
|
+
3
=
16
.(1 point)
The solution to the absolute value equation is x=
𝑥
=

Answer 1

Combine constants: 13 + 3 = 16, so
16 − 4|15 + 3x| = 16 ⇒ −4|15 + 3x| = 0 ⇒ |15 + 3x| = 0.
Thus 15 + 3x = 0 ⇒ x = −5.