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10 (a) Finley is asked to solve the equation $5x + 4 = 19$ - OCR - GCSE Maths - Question 10 - 2023 - Paper 1

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10 (a) Finley is asked to solve the equation $5x + 4 = 19$. Finley’s working is shown below. $$ 5x + 4 = 19 5x = 19 - 4 5x = 15 x = 4.6 $$ Write down the... show full transcript

Worked Solution & Example Answer:10 (a) Finley is asked to solve the equation $5x + 4 = 19$ - OCR - GCSE Maths - Question 10 - 2023 - Paper 1

Step 1

Finley's error

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Answer

Finley incorrectly calculated the value of xx. The equation 5x=155x = 15 leads to x=3x = 3, not x=4.6x = 4.6. He made a mistake while subtracting 4 from 19.

Step 2

Charlie's error

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Answer

Charlie incorrectly applied the formula. The correct formula is rearranged to find the initial velocity uu, given by u=vatu = v - at. This should lead to u=29(5imes3)=2915=14u = 29 - (5 imes 3) = 29 - 15 = 14. Thus, he miscalculated the initial velocity.

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