Question

Solve the equation
1. 2x – 3 =7
2. 7y + 9 = 16

3. 2 ( x – 3 ) = 15

4. 2x-3 = x +2

5. 6x = 12
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Answer 1

Step-by-step explanation:

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Answer 2

Question :-

Solve the equation :

1. 2x - 3 = 7

Answer :-

The required number is 5.

Step-by-step explanation:

⇒ 2x - 3 = 7

⇒ 2x = 7 + 3

⇒ 2x = 10

⇒ x = 10/2

⇒ x = 5

V E R I F I C A T I O N :-

• 2x - 3 = 7

By simplifying the L.H.S :-

⇒ 2x - 3

⇒ 2*5 - 3

⇒ 10 - 3

⇒ 10

∴ L.H.S = R.H.S

Hence, Verified!

2. 7y + 9 = 16

Answer :-

The required number is 1.

Step-by-step explanation:

⇒ 7y + 9 = 16

⇒ 7y = 16 - 9

⇒ 7y = 7

⇒ y = 7/7

⇒ y = 1

V E R I F I C A T I O N :-

• 7y + 9 = 16

By simplifying the L.H.S :-

⇒ 7y + 9

⇒ 7*1 + 9

⇒ 7 + 9

⇒ 16

∴ L.H.S = R.H.S

Hence, Verified!

3. 2(x - 3) = 15

Answer :-

The required number is 15.

Step-by-step explanation:

⇒ 2(x - 3) = 15

⇒ 2x - 6 = 15

⇒ 2x = 15 + 6

⇒ 2x = 21

⇒ x = 21/2

⇒ x = 10.5

V E R I F I C A T I O N :-

• 2(x - 3) = 15

By simplifying the L.H.S :-

⇒ 2(10.5 - 3)

⇒ 2(7.5)

⇒ 15

∴ L.H.S = R.H.S

Hence, Verified!

4. 2x - 3 = x + 2

Answer :-

The required number is 5.

Step-by-step explanation:

⇒ 2x - 3 = x + 2

⇒ 2x - x - 3 = 2

⇒ x - 3 = 2

⇒ x = 2 + 3

⇒ x = 5

V E R I F I C A T I O N :-

• 2x - 3 = x + 2

By simplifying the L.H.S an R.H.S :-

• L.H.S :-

⇒ 2x - 3

⇒ 2*5 - 3

⇒ 10 - 3

⇒ 7

• R.H.S

⇒ x + 2

⇒ 5 + 2

⇒ 7

∴ L.H.S = R.H.S

Hence, Verified!

5. 6x = 12

Answer :-

The required number is 2.

Step-by-step explanation:

⇒ 6x = 12

⇒ x = 12/6

⇒ x = 2

V E R I F I C A T I O N :-

• 6x = 12

By simplifying the L.H.S :-

⇒ 6x

⇒ 6*2

⇒ 12

∴ L.H.S = R.H.S

Hence, Verified!