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In this question you must show all stages of your working - Edexcel - A-Level Maths Pure - Question 3 - 2022 - Paper 2

Question 3

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure 1 shows a sketch of the... show full transcript

Worked Solution & Example Answer:In this question you must show all stages of your working - Edexcel - A-Level Maths Pure - Question 3 - 2022 - Paper 2

Step 1

Solve $3 - 2x = 7 + x$

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Answer

To solve the equation, we isolate $x$ :

Rearrange the equation: $3 - 2x = 7 + x$ $3 - 7 = x + 2x$ $-4 = 3x$
Divide both sides by 3: $x = -\frac{4}{3}$

Step 2

Solve $3 - 2x = -(7 + x)$

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Answer

For the second case, we also need to consider the negative of the right-hand side:

Rearrange the equation: $3 - 2x = -7 - x$ $3 + 7 = -x + 2x$ $10 = x$

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