Question

solve the equation. ​

Answer 1

Question ❶ :

›»› 7x - 6 = 15

Answer :

›»› The value of x = 3

Given :

• 7x - 6 = 15

To Find :

• The value of x = ?

Required Solution :

Let's start our solution and understand the steps to get our final result of x.

⇛ 7x - 6 = 15

Move the constant to the right si de and change the sign,

⇛ 7x = 15 + 6

Add 15 and 6,

⇛ 7x = 21

Divide both sides by the same number,

⇛ x = 3

║Hence, the value of x is 3.║

⠀⠀━━━━━━━━━━━━

Question ❷ :

›»› 6(y + 4) = 32

Answer :

›»› The value of y = 4/3

Given :

• 6(y + 4) = 32

To Find :

• The value of y = ?

Required Solution :

Let's start our solution and understand the steps to get our final result of y.

⇛ 6(y + 4) = 32

Multiply each term in parentheses by 6,

⇛ 6y + 6 × 4 = 32

Multiply 6 and 4,

⇛ 6y + 24 = 32

Move the constant to right side and change the sign,

⇛ 6y = 33 - 24

Subtract 24 from 33,

⇛ 6y = 8

Divide both sides by the same number,

⇛ y = 4/3

║Hence, the value of y is 4/3.║

⠀⠀━━━━━━━━━━━━

Question ❸ :

›»› 4x + 7 = 15

Answer :

›»› The value of x =

Given :

• 4x + 7 = 15

To Find :

• The value of x = ?

Required Solution :

Let's start our solution and understand the steps to get our final result of x.

⇛ 4x + 7 = 15

Move the constant to the right si de and change the sign,

⇛ 4x = 15 - 7

Subtract 7 from 15,

⇛ 4x = 8

Divide both sides by the same number,

⇛ x = 2

║Hence, the value of x is 2.║

⠀⠀━━━━━━━━━━━━

Question ❹ :

›»› 2x/7 - 3 = 5

Answer :

›»› The value of x = 28

Given :

• 2x/7 - 3 = 5

To Find :

• The value of x = ?

Required Solution :

Let's start our solution and understand the steps to get our final result of x.

⇛ $\sf{ \dfrac{2x}{7} - 3 = 5}$

Find the least common multiple of rational numbers contained in an equation,

⇛ $\sf{7 \bigg( \dfrac{2x}{7} - 3 \bigg) = 7 \times 5}$

Multiply each term in parentheses by 7,

⇛ $\sf{ \cancel{7} \times \dfrac{2x}{ \cancel{7}} + 7 \times ( - 3) = 7 \times 5 }$

Present multiplying integers and rational numbers,

⇛ 2x + 7 × (-3) = 7 × 5

Multiply 7 and -3,

⇛ 2x - 21 = 7 × 5

Multiply 7 and 5,

⇛ 2x - 21 = 35

Move the constant to right side and change the sign,

⇛ 2x = 35 + 21

Add 35 and 21,

⇛ 2x = 56

Divide both sides by the same number,

⇛ x = 28

║Hence, the value of x is 28.║

Hence Solved !

Answer 2

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15)

[a]

7x - 6 = 15

7x = 15 + 6

7x = 21

x = 21/7

x = 3

[b]

6( y + 4 ) = 32

6y + 24 = 32

6y = 32 - 24

6y = 8

y = 8/6

y = 1.33....

[c]

4x + 7 = 15

4x = 15 - 7

4x = 8

x = 8/4

x = 2

[d]

2x/7 - 3 = 5

2x/7 = 5 + 3

2x/7 = 8

2x = 8 × 7

2x = 56

x = 56/2

x = 28