Solve the equation. $| 3 x + 4 | = 23$
A) $x = - 7$
B) $x = \frac { 19 } { 3 } , - 9$
C) $x = - 9$
D) $x = \frac { 13 } { 5 } , - 7$
E) no solution

Question

Quizplus · Accepted Answer

The equation $| 3x + 4 | = 23$ can be solved by considering both the positive and negative scenarios of the absolute value. For the positive case, $3x + 4 = 23$, solving for $x$ gives $x = \frac{19}{3}$. For the negative case, $-(3x + 4) = 23$, solving for $x$ gives $x = -9$. Therefore, both $x = \frac{19}{3}$ and $x = -9$ are solutions.

Solve the Equation ∣3x+4∣=23| 3 x + 4 | = 23∣3x+4∣=23

Solve the Equation $| 3 x + 4 | = 23$