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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. $$5y + 2 - 3t = 7$$ $$y = 2$$

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

Step 1

Step 1: Isolate the term containing y

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Answer

Start by isolating the term with y in the equation. Begin with the equation:

5y+2−3t=75y + 2 - 3t = 7

First, move 2 and -3t to the other side of the equation:

5y=7+3t−25y = 7 + 3t - 2

Step 2

Step 2: Simplify the equation

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Answer

Now, simplify the right-hand side:

5y=5+3t5y = 5 + 3t

Step 3

Step 3: Solve for y

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Answer

To isolate y, divide both sides by 5:

y=5+3t5y = \frac{5 + 3t}{5}

Thus, the value of y in terms of t is:

y=1+3t5y = 1 + \frac{3t}{5}

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