Make m the subject of the formula
f = \frac{3m + 4}{m - 1}
(Total for Question 15 is 3 marks) - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 2
Question 16
Make m the subject of the formula
f = \frac{3m + 4}{m - 1}
(Total for Question 15 is 3 marks)
Worked Solution & Example Answer:Make m the subject of the formula
f = \frac{3m + 4}{m - 1}
(Total for Question 15 is 3 marks) - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 2
Step 1
Multiply both sides by (m - 1)
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Answer
To isolate the fraction, start by multiplying both sides of the equation by (m - 1):
[ f(m - 1) = 3m + 4 ]
Step 2
Expand the equation
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Answer
Now expand the left side:
[ fm - f = 3m + 4 ]
Step 3
Rearranging to make m the subject
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Answer
Next, gather all terms containing m on one side:
[ fm - 3m = f + 4 ]
Factor out m:
[ m(f - 3) = f + 4 ]
Now solve for m:
[ m = \frac{f + 4}{f - 3} ]
