Make h the subject of the formula
q= 1+rh/1-ht
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To make h the subject of the formula q = 1 + rh / (1 - ht), we will isolate the term containing h on one side of the equation.
Step 1: Multiply both sides of the equation by (1 - ht) to remove the denominator on the right side:
(1 - ht) * q = (1 + rh)
Step 2: Distribute the multiplication on the left side of the equation:
q - htq = 1 + rh
Step 3: Move the -htq term to the right side of the equation by adding htq to both sides:
q = 1 + rh + htq
Step 4: Move the terms involving h on one side by subtracting rh from both sides of the equation:
q - rh = 1 + htq
Step 5: Move the htq term to the left side by subtracting htq from both sides:
q - rh - htq = 1
Step 6: Factor out h from the left side:
h(-rt - qt) = 1 - qhr
Step 7: Divide both sides by (-rt - qt) to solve for h:
h = (1 - qhr) / (-rt - qt)
Therefore, h is the subject of the formula q = 1 + rh / (1 - ht) when h = (1 - qhr) / (-rt - qt).