Section: Math 0 Likes
10 (x + 120) = 120 Which of the following equations has the same (May 2023 U.S.)
10 (x + 120) = 120
Which of the following equations has the same solution as the given equation?
A) x + 120 = 12
B) x + 120 = 130
C) x + 12 = 12
D) x + 12 = 120
Solution
Correct answer: B) x + 120 = 130.
To solve this problem, we need to find the equation that has the same solution as the given equation: 10(x + 120) = 120.
Let's solve the given equation step-by-step:
10(x + 120) = 120
10x + 1200 = 120
10x = -1080
x = -108
Now, let's compare the given equation with the options provided:
A) x + 120 = 12
This equation does not have the same solution as the given equation, as the solution to this equation is x = -108.
B) x + 120 = 130
This equation has the same solution as the given equation, as the solution to this equation is also x = -108.
C) x + 12 = 12
This equation does not have the same solution as the given equation, as the solution to this equation is x = 0.
D) x + 12 = 120
This equation does not have the same solution as the given equation, as the solution to this equation is x = 108.
Therefore, the correct answer is option B: x + 120 = 130.
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Algebra and Algebraic Equations, Solving Linear Equations