Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( a = 2 \)
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
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 \( 2 \).