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Rearrange the equation to make x the subject - OCR - GCSE Maths - Question 17 - 2017 - Paper 1

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Rearrange the equation to make x the subject. y = 7x - 3 Factorise. (i) x² - xy (ii) x² + 8x + 12

Worked Solution & Example Answer:Rearrange the equation to make x the subject - OCR - GCSE Maths - Question 17 - 2017 - Paper 1

Step 1

Rearrange the equation to make x the subject

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Answer

To rearrange the equation for x, we start with:

y = 7x - 3

  1. Add 3 to both sides:

    y+3=7xy + 3 = 7x

  2. Divide both sides by 7:

    x=y+37x = \frac{y + 3}{7}

Step 2

Factorise (i) x² - xy

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Answer

To factorise x² - xy, we look for common factors:

  1. Factor out the common term x: x(x−y)x(x - y)

Step 3

Factorise (ii) x² + 8x + 12

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Answer

To factorise x² + 8x + 12, we need two numbers that multiply to 12 and add to 8:

  1. The numbers 6 and 2 work:

  2. Therefore, we can express it as:

    (x+6)(x+2)(x + 6)(x + 2)

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