Question

Give the steps you will use to separate the variable and then solve the equation:
(a) 3n – 2 = 46
(b) 5m + 7 = 17
(c) $\frac{20p}{3}$ =40
(d) $\frac{3p}{10}$=6

Answer 1

(a) 3n – 2 = 46
**Step 1 : **
3n – 2+2= 46+2
3n=48
**Step 2 : **
$\frac{3n}{3}$=$\frac{48}{3}$
$\Rightarrow n=16$

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(b) 5m+7=17
**Step 1 : **
5m+7-7=17-7
$\Rightarrow 5m=10$[Subtracting 7 both sides]
**Step 2 : **
$\frac{5m}{5}=\frac{10}{5}$[Dividing both sides by 5]
$m=2$

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(c) $\frac{20p}{3}$ =40
**Step 1 : **
$\frac{20p}{3}\times 3$ =40$\times 3$ [Multiplying both sides by 3]
**Step 2 : **
$\frac{3p}{3}=\frac{60}{3}$
$\Rightarrow p=20$ [Dividing both sides by 20]

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(d) $\frac{3p}{10}$=6
**Step 1 : **
$\frac{3p}{10}\times 10$=$6\times 10$
$\Rightarrow 3p=60$ [Multiplying both sides by 10]
**Step 2 : **
$\frac{3p}{3}=\frac{60}{3}$
$p=20$ [Dividing both sides by 3]