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

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Solution

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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