what steps are used to isolate the variable in the equation

h/7 + 2 = 11

1 answer

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

  1. Subtract 2 from both sides: This moves the constant term on the left side of the equation to the right side. \[ \frac{h}{7} + 2 - 2 = 11 - 2 \] Simplifying it results in: \[ \frac{h}{7} = 9 \]

  2. Multiply both sides by 7: This eliminates the fraction by multiplying both sides by 7. \[ 7 \cdot \frac{h}{7} = 9 \cdot 7 \] Simplifying gives: \[ h = 63 \]

So, the value of \( h \) is \( 63 \).