(a) If 5z + 27 = 3z + 33, find the value of z. [2 MARKS] (b) If

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(a) If 5z + 27 = 3z + 33, find the value of z. [2 MARKS]
(b) If 7x + 14 = 34 - 3x, find the value of x.

Options:

Answer: Option A
:

Each part: 1 Mark
(a) $5 z + 27 = 3 z + 33$
$\Rightarrow 5 z - 3 z = 33 - 27$
$\Rightarrow 2 z = 6$
$\Rightarrow z = 3$
$∴ z = 3.$
(b) $7 x + 14 = 34 - 3 x$
$\Rightarrow 7 x + 14 = 34 - 3 x$
$\Rightarrow 7 x + 3 x = 34 - 14$
$\Rightarrow 10 x = 20$
$∴ x = \frac{20}{10} = 2$

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