Higher June 2022 Unit 1 Q10
10. Rearrange the following formula to make \(x\) the subject.
\[5x + 4 = t - yx\]You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(5x + yx = t - 4\) or \(4 - t = -yx - 5x\) | B1 | FT until 2nd error provided equivalent difficulty (requiring factorisation). Collecting \(x\) terms. |
| \(x(5 + y) = t - 4\) or \(4 - t = x(-y - 5)\) | B1 | Factorising. Allow B1 for \(4 - t = -x(y + 5)\). |
| \(x = \dfrac{t - 4}{5 + y}\) or equivalent | B1 | Dividing. Allow \(x = \dfrac{4 - t}{-y - 5}\) Mark final answer. |