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Solve. (a) $x - 6 = 4$ (b) $\frac{12}{x} = 3$ - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

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Solve.-(a)-$x---6-=-4$--(b)-$\frac{12}{x}-=-3$-OCR-GCSE Maths-Question 6-2018-Paper 1.png

Solve. (a) $x - 6 = 4$ (b) $\frac{12}{x} = 3$

Worked Solution & Example Answer:Solve. (a) $x - 6 = 4$ (b) $\frac{12}{x} = 3$ - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

Step 1

(a) Solve for x in $x - 6 = 4$

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Answer

To solve the equation x−6=4x - 6 = 4, we need to isolate xx.

  1. Start by adding 6 to both sides of the equation:

    x−6+6=4+6x - 6 + 6 = 4 + 6

    This simplifies to:

    x=10x = 10

Step 2

(b) Solve for x in $\frac{12}{x} = 3$

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Answer

To solve the equation 12x=3\frac{12}{x} = 3, we can use cross-multiplication.

  1. Multiply both sides by xx to eliminate the fraction:

    12=3x12 = 3x

  2. Next, divide both sides by 3 to solve for xx:

    x=123=4x = \frac{12}{3} = 4

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