Question
12. Which equations have \( x=15 \) as a solution? Select all that apply. \( \begin{array}{ll}\text { (A) } x+14=29 & \text { (D) } x+17=32 \\ \text { (B) } 25+x=10 & \text { (E) } x-8=7 \\ \text { (C) } x-38=23 & \text { (F) } 35-x=25\end{array} \)
Ask by Griffiths Summers. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equations that have \( x = 15 \) as a solution are (A), (D), and (E).
Solution
We will check each equation by substituting x = 15:
A. x + 14 = 29
15 + 14 = 29, which is true.
B. 25 + x = 10
25 + 15 = 40, which is not equal to 10.
C. x - 38 = 23
15 - 38 = -23, which is not equal to 23.
D. x + 17 = 32
15 + 17 = 32, which is true.
E. x - 8 = 7
15 - 8 = 7, which is true.
F. 35 - x = 25
35 - 15 = 20, which is not equal to 25.
Thus, the equations that have x = 15 as a solution are A, D, and E.
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Simplify this solution Mind Expander
Let's solve each equation to see if \( x = 15 \) is a solution. (A) \( x + 14 = 29 \): Substituting \( x = 15 \): \( 15 + 14 = 29 \) → True (B) \( 25 + x = 10 \): Substituting \( x = 15 \): \( 25 + 15 = 10 \) → False (C) \( x - 38 = 23 \): Substituting \( x = 15 \): \( 15 - 38 = 23 \) → False (D) \( x + 17 = 32 \): Substituting \( x = 15 \): \( 15 + 17 = 32 \) → True (E) \( x - 8 = 7 \): Substituting \( x = 15 \): \( 15 - 8 = 7 \) → True (F) \( 35 - x = 25 \): Substituting \( x = 15 \): \( 35 - 15 = 25 \) → True In summary, the equations with \( x = 15 \) as a solution are: (A), (D), (E), and (F).
