Pregunta
What is the value of a if the point \( (a,-1) \) is on the line \( 3 x-2 y=8 ? \)
Ask by Cervantes Ortega. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( a = 2 \)
Solución
To find the value of \( a \) such that the point \( (a, -1) \) lies on the line defined by the equation \( 3x - 2y = 8 \), we can substitute \( x = a \) and \( y = -1 \) into the equation.
1. Substitute \( x \) and \( y \) into the equation:
\[
3a - 2(-1) = 8
\]
2. Simplify the equation:
\[
3a + 2 = 8
\]
3. Isolate \( a \):
\[
3a = 8 - 2
\]
\[
3a = 6
\]
\[
a = \frac{6}{3}
\]
\[
a = 2
\]
Thus, the value of \( a \) is \( 2 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To find the value of \( a \), we can substitute the coordinates of the point \( (a, -1) \) into the equation of the line \( 3x - 2y = 8 \). This gives us: \[ 3(a) - 2(-1) = 8 \] Simplifying this, we have: \[ 3a + 2 = 8 \] Next, we subtract 2 from both sides: \[ 3a = 6 \] Now, dividing both sides by 3: \[ a = 2 \] So, the value of \( a \) is \( 2 \).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
