Find the value of 'x'. [3 MARKS] (i) 4x+5=25 (ii) x−213=

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Find the value of 'x'. [3 MARKS]
(i)

4 x + 5 = 25

(ii)

x - 2 \frac{1}{3} = 5 \frac{1}{2}

(iii)

(7 x + 8) \div 7 = 8

Answer:
:
Each Option: 1 Mark
(i)

4 x + 5 = 25

\Rightarrow 4 x = 25 - 5

\Rightarrow 4 x = 20

Divide by 4 on both sides,

4 x \div 4 = 20 \div 4

x = 5

(ii)

x - 2 \frac{1}{3} = 5 \frac{1}{2}

\Rightarrow x - \frac{7}{3} = \frac{11}{2}

(Taking LCM of 1 and 3 )

\Rightarrow \frac{3 x - 7}{3} = \frac{11}{2}

\Rightarrow 3 x = \frac{11}{2} \times 3 + 7

\Rightarrow 3 x = \frac{33 + 14}{2} = \frac{47}{2}

\Rightarrow x = \frac{47}{6} = 7 \frac{5}{6} = 7.833

(iii)

(7 x + 8) \div 7 = 8

\Rightarrow \frac{7 x + 8}{7} = 8

\Rightarrow 7 x = 8 \times 7 - 8 = 56 - 8 = 48

\Rightarrow x = \frac{48}{7} = 6 \frac{6}{7} = 6.86

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