Solving the equation (h - 4)/j = 4 yields 'h = 4j + 4'. The correct solution is option (b) 'h' equals 16, as it satisfies the equation when 'j' is 3.
To solve the equation (h - 4)/j = 4 for 'h', we can follow these steps:
Multiply both sides of the equation by 'j' to isolate the numerator on the left side: h - 4 = 4j.
Add 4 to both sides of the equation to isolate 'h': h = 4j + 4.
Now, we can analyze the given options:
a) If 'h' equals 20:
20 is not equal to 4j + 4.
b) If 'h' equals 16:
16 equals 4j + 4, where j is 3. Substituting this back into the original equation, it holds true.
c) If 'h' equals 8:
8 is not equal to 4j + 4.
d) If 'h' equals 18:
18 is not equal to 4j + 4.
Therefore, the correct solution is option (b) 'h' equals 16.