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Make f the subject of the formula $$d = \frac{3(l - f)}{f - 4}$$ - Edexcel - GCSE Maths - Question 18 - 2020 - Paper 1

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Make f the subject of the formula $$d = \frac{3(l - f)}{f - 4}$$

Worked Solution & Example Answer:Make f the subject of the formula $$d = \frac{3(l - f)}{f - 4}$$ - Edexcel - GCSE Maths - Question 18 - 2020 - Paper 1

Step 1

Step 1: Clear the fraction

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Answer

To begin, we can eliminate the fraction by multiplying both sides of the equation by ( f - 4 ):
d(f4)=3(lf)d(f - 4) = 3(l - f)

Step 2

Step 2: Expand the equation

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Answer

Next, we need to expand both sides of the equation:
df4d=3l3fdf - 4d = 3l - 3f

Step 3

Step 3: Rearrange the equation to isolate f

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Answer

Now, we can rearrange the equation to group all the terms containing ( f ) on one side:
df+3f=3l+4ddf + 3f = 3l + 4d
Combine the terms:
f(d+3)=3l+4df(d + 3) = 3l + 4d

Step 4

Step 4: Make f the subject

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Answer

Finally, we can isolate ( f ) by dividing both sides by ( d + 3 ):
f=3l+4dd+3f = \frac{3l + 4d}{d + 3}

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