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Rearrange this formula to make y the subject - OCR - GCSE Maths - Question 18 - 2021 - Paper 1

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Question 18

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Rearrange this formula to make y the subject. $$5y + 2 - 3t - 7 = \frac{y}{2}$$

Worked Solution & Example Answer:Rearrange this formula to make y the subject - OCR - GCSE Maths - Question 18 - 2021 - Paper 1

Step 1

Step 1: Clear the Fraction

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Answer

To eliminate the fraction, multiply both sides of the equation by 2:

2(5y+2−3t−7)=y2(5y + 2 - 3t - 7) = y

This simplifies to:

10y+4−6t−14=y10y + 4 - 6t - 14 = y

Step 2

Step 2: Simplify the Equation

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Answer

Combine like terms:

10y−y+4−14−6t=010y - y + 4 - 14 - 6t = 0

This results in:

9y−6t−10=09y - 6t - 10 = 0

Step 3

Step 3: Isolate y

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Answer

Next, rearrange the equation to isolate y:

9y=6t+109y = 6t + 10

Step 4

Step 4: Solve for y

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Answer

Finally, divide through by 9 to solve for y:

y=6t+109y = \frac{6t + 10}{9}

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