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Solve. (a) $x - 14 = 30$ (b) $6y + 7 = 28$ - OCR - GCSE Maths - Question 7 - 2021 - Paper 1

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Question 7

Solve.-(a)--$x---14-=-30$--(b)--$6y-+-7-=-28$-OCR-GCSE Maths-Question 7-2021-Paper 1.png

Solve. (a) $x - 14 = 30$ (b) $6y + 7 = 28$

Worked Solution & Example Answer:Solve. (a) $x - 14 = 30$ (b) $6y + 7 = 28$ - OCR - GCSE Maths - Question 7 - 2021 - Paper 1

Step 1

(a) $x - 14 = 30$

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Answer

To solve the equation, we need to isolate xx:

  1. Add 14 to both sides:
    x−14+14=30+14x - 14 + 14 = 30 + 14
    x=44x = 44

Step 2

(b) $6y + 7 = 28$

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Answer

To find the value of yy, follow these steps:

  1. Subtract 7 from both sides:
    6y+7−7=28−76y + 7 - 7 = 28 - 7
    6y=216y = 21

  2. Divide both sides by 6:
    y=216y = \frac{21}{6} Simplifying gives: y=3.5y = 3.5

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