What is the value of the unknown in the following equations? [4 MARKS] (i) 2x+4

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What is the value of the unknown in the following equations? [4 MARKS]
(i)

2 x + 4 = 10

(ii)

11 x - 7 = 5 (x + 7)

(iii)

7 m + \frac{19}{2} = 13

(iv)

2 y + \frac{5}{2} = \frac{37}{2}

Answer:
:
Each part:1 Mark each
(i)

2 x + 4 = 10

\Rightarrow 2 x = 10 - 4

\Rightarrow 2 x = 6

\Rightarrow x = \frac{6}{2} = 3

(ii)

11 x - 7 = 5 (x + 7)

\Rightarrow 11 x - 7 = 5 x + 35

\Rightarrow 11 x - 5 x = 35 + 7

\Rightarrow 6 x = 42

\Rightarrow x = \frac{42}{6} = 7

(iii)

7 m + \frac{19}{2} = 13

7 m = 13 - \frac{19}{2}

7 m = \frac{26 - 19}{2}

7 m = \frac{7}{2}

m = \frac{7}{2 \times 7}

m = \frac{1}{2}

(iv)

2 y + \frac{5}{2} = \frac{37}{2}

2 y = \frac{37}{2} - \frac{5}{2}

2 y = \frac{37 - 5}{2}

2 y = \frac{32}{2}

y = \frac{32}{4}

y = 8

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