Make f the subject of the formula
$$d = \frac{3(l - f)}{f - 4}$$ - Edexcel - GCSE Maths - Question 18 - 2020 - Paper 1
Question 18
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
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To begin, we can eliminate the fraction by multiplying both sides of the equation by ( f - 4 ): d(f−4)=3(l−f)
Step 2
Step 2: Expand the equation
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Next, we need to expand both sides of the equation: df−4d=3l−3f
Step 3
Step 3: Rearrange the equation to isolate f
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Now, we can rearrange the equation to group all the terms containing ( f ) on one side: df+3f=3l+4d
Combine the terms: f(d+3)=3l+4d
Step 4
Step 4: Make f the subject
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Finally, we can isolate ( f ) by dividing both sides by ( d + 3 ): f=d+33l+4d