# Using two steps to solve an equation with whole numbers Online Quiz

#### Differential Equations

46 Lectures 2.5 hours

#### Linear Equations in Two Variables

9 Lectures 2.5 hours

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Q 1 - Solve the following equation:

43 = 7 + 4b

### Explanation

Step 1:

Given $43 = 7 + 4b$

Subtracting 7 from both sides

$43 −7 = 7 + 4b − 7; \: 36 = 4b$

Step 2:

Dividing both sides by 4

$\frac{36}{4} = \frac{4b}{4}$

So, $b = 9$

Q 2 - Solve the following equation:

2w + 21 = 9w

### Explanation

Step 1:

Given $2w + 21 = 9w$

Subtracting 2w from both sides

$2w + 21 −2w = 9w − 2w; \: 21 = 7w$

Step 2:

Dividing both sides by 7

$\frac{21}{7} = \frac{7w}{7}$

So, $w = 3$

Q 3 - Solve the following equation:

39 = 4s + 3

### Explanation

Step 1:

Given $39 = 4s + 3$

Subtracting 3 from both sides

$39 − 3 = 4s + 3 − 3; \: 36 = 4s$

Step 2:

Dividing both sides by 4

$\frac{36}{4} = \frac{4s}{4}$

So, $9 = s$

Q 4 - Solve the following equation:

20 = − 12 + 8x

### Explanation

Step 1:

Given $20 = − 12 + 8x$

$20 + 12 = − 12 + 8x + 12; \: 32 = 8x$

Step 2:

Dividing both sides by 8

$\frac{32}{8} = \frac{8x}{8}$

So, $4 = x$

Q 5 - Solve the following equation:

2p + 8 = 22

### Explanation

Step 1:

Given $2p + 8 = 22$

Subtracting 8 from both sides

$2p + 8 − 8 = 22 − 8; \: 2p = 14$

Step 2:

Dividing both sides by 2

$\frac{2p}{2} = \frac{14}{2}$

So, $p = 7$

Q 6 - Solve the following equation:

5h + 2 = 42

### Explanation

Step 1:

Given $5h + 2 = 42$

Subtracting 2 from both sides

$5h + 2 −2 = 42 −2; \: 5h = 40$

Step 2:

Dividing both sides by 5

$\frac{5h}{5} = \frac{40}{5}$

So, $h = 8$

Q 7 - Solve the following equation:

− 25 = − 3 + 11y

### Explanation

Step 1:

Given $− 25 = − 3 + 11y$

$− 25 + 3 = − 3 + 3 + 11y; \: −22 = 11y$

Step 2:

Dividing both sides by 11

$\frac{−22}{11} = \frac{11y}{11}$

So, $y = −2$

Q 8 - Solve the following equation:

11p + 5 = 49

### Explanation

Step 1:

Given $11p + 5 = 49$

Subtracting 5 from both sides

$11p + 5 −5 = 49 −5; \: 11p = 44$

Step 2:

Dividing both sides by 11

$\frac{11p}{11} = \frac{44}{11}$

So, $p = 4$

Q 9 - Solve the following equation:

47 = 2 + 5c

### Explanation

Step 1:

Given $47 = 2 + 5c$

Subtracting 2 from both sides

$47 − 2 = 2 + 5c −2; \: 45 = 5c$

Step 2:

Dividing both sides by 5

$\frac{5c}{5} = \frac{45}{5}$

So, $c = 9$

Q 10 - Solve the following equation:

$\frac{w}{7} − 15 = −14$

### Explanation

Step 1:

Given $\frac{w}{7} − 15 = −14$

$\frac{w}{7} − 15 + 15 = −14 + 15; \: \frac{w}{7} = 1$
$\frac{w}{7} \times 7 = 1 \times 7 = 7$
So, $w = 7$