Answer: To determine which equation has the solution x = 5, we can substitute 5 into each equation and see which one results in a true statement.
Let's evaluate each equation:
1. 25/x + 4 = 9
Substituting x = 5:
25/5 + 4 = 9
5 + 4 = 9
9 = 9 (True)
2. x/5 + 5 = 6
Substituting x = 5:
5/5 + 5 = 6
1 + 5 = 6
6 = 6 (True)
3. 3x + 1 = 9
Substituting x = 5:
3(5) + 1 = 9
15 + 1 = 9
16 = 9 (False)
4. 18 - 2x = 9
Substituting x = 5:
18 - 2(5) = 9
18 - 10 = 9
8 = 9 (False)
5. 32 - 4x = 12
Substituting x = 5:
32 - 4(5) = 12
32 - 20 = 12
12 = 12 (True)
6. 11 + 6x = 22
Substituting x = 5:
11 + 6(5) = 22
11 + 30 = 22
41 = 22 (False)
From the evaluations, equations 1, 2, and 5 have the solution x = 5.
Explanation: