What steps are used to isolate the variable in the equation?: h/7 + 2 = 11

Answer 1

To isolate the variable \( h \) in the equation \( \frac{h}{7} + 2 = 11 \), follow these steps:

1. Subtract 2 from both sides: This will help to isolate the term involving \( h \).

   \[ \frac{h}{7} + 2 - 2 = 11 - 2 \]

   Simplifying both sides gives:

   \[ \frac{h}{7} = 9 \]

2. Multiply both sides by 7: This will eliminate the fraction.

   \[ 7 \cdot \frac{h}{7} = 7 \cdot 9 \]

   Simplifying both sides gives:

   \[ h = 63 \]

So, the solution is \( h = 63 \).