Which of the following four equation has the solution of the lowest value?

X + 25 = 2

X - 6 = -16

X + 19 = -5

X - 7 = 28

1 answer

Let's solve each equation for \( X \):

  1. Equation: \( X + 25 = 2 \)
    Solution: \[ X = 2 - 25 = -23 \]

  2. Equation: \( X - 6 = -16 \)
    Solution: \[ X = -16 + 6 = -10 \]

  3. Equation: \( X + 19 = -5 \)
    Solution: \[ X = -5 - 19 = -24 \]

  4. Equation: \( X - 7 = 28 \)
    Solution: \[ X = 28 + 7 = 35 \]

Now let's summarize the solutions:

  • From the first equation, \( X = -23 \)
  • From the second equation, \( X = -10 \)
  • From the third equation, \( X = -24 \)
  • From the fourth equation, \( X = 35 \)

Among the solutions \( -23, -10, -24, \) and \( 35 \), the solution with the lowest value is:

\[ \boxed{-24} \] (from the third equation: \( X + 19 = -5 \)).