Pregunta
How many solutions does the following equation have? \( -9(z+8)=-9 z-72 \) Choose 1 answer: (A) No solutions (B) Exactly one solution (C) Infinitely many solutions
Ask by Welch Franklin. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
There are infinitely many solutions.
Solución
We start by distributing and simplifying the equation:
-9(z + 8) = -9z - 72
which becomes
-9z - 72 = -9z - 72.
Since both sides are exactly the same, this equation holds for any value of z. Therefore, there are infinitely many solutions.
Answer: (C) Infinitely many solutions.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
To determine the number of solutions, let's first simplify the equation: Starting with \( -9(z + 8) = -9z - 72 \), we distribute the left side to get: \(-9z - 72 = -9z - 72\). Now observe that both sides are identical. This means that the equation holds true for any value of \( z \). Thus, there are infinitely many solutions to the equation. So the correct answer is (C) Infinitely many solutions.

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium