Question
Determine whether -11 is a solution of the equation \( 6(x-1)=-70 \)
Ask by Watkins Alexander. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
-11 is not a solution to the equation \( 6(x-1) = -70 \).
Solution
To determine if -11 is a solution to the equation 6(x - 1) = -70, substitute x = -11 into the equation:
1. Replace x with -11:
6(-11 - 1)
2. Simplify inside the parentheses:
-11 - 1 = -12
3. Multiply:
6 × (-12) = -72
Since -72 is not equal to -70, -11 does not satisfy the equation.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To check if -11 is a solution of the equation \( 6(x-1)=-70 \), we can substitute -11 for \( x \) in the equation. First, we calculate \( x - 1 \) when \( x = -11 \): \[ -11 - 1 = -12 \] Now substitute into the equation: \[ 6(-12) = -72 \] Since -72 does not equal -70, -11 is not a solution of the equation \( 6(x-1)=-70 \). Let’s solve the equation step by step to find the actual solution! Start by distributing on the left side: 1. \( 6x - 6 = -70 \) 2. Add 6 to both sides: \( 6x = -64 \) 3. Divide by 6: \( x = -\frac{64}{6} = -\frac{32}{3} \) Now you know the precise solution!
