Question

Q1) Find the value of the variable and verify the solution
1)P+9=3
2)3z=27
3)2(p+9)= -4
4)9x+5=77
5) 13x-1/2=32
6) 9/6=8/18
7) 0=18+3(m+12)
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Answer 1

Answer :

• p = -6
• z = 9
• p = -11
• x = 8
• x = 5/2
• 3.375
• m = -18

Given :

• P+9=3
• 3z=27
• 2(p+9)= -4
• 9x+5=77
• 13x-1/2=32
• 9/6=8/18
• 0=18+3(m+12)

To find :

• Value of the variables and verify the solution

Solution :

(1) p + 9 = 3

⇢ p + 9 = 3

⇢ p = 3 - 9

⇢ p = -6

(2) 3z = 27

⇢ 3z = 27

⇢ z = 27/3

⇢ z = 9

(3) 2(p + 9) = - 4

⇢ 2(p + 9) = - 4

⇢ 2p + 18 = -4

⇢ 2p = -4 - 18

⇢ 2p = -22

⇢ p = -11

(4) 9x + 5 = 77

⇢ 9x + 5 = 77

⇢ 9x = 77 - 5

⇢ 9x = 72

⇢ x = 72/9

⇢ x = 8

(5) 13x - 1/2 = 32

⇢ 13x - 1/2 = 32

⇢ 13x = 32 + 1/2

⇢ 13x = 65/2

⇢ x = 5/2

(6) 9/6 = 8/18

⇢ 9/6 = 8/18

⇢ 6(8) = 9(18)

⇢ 48 = 162

⇢ 48(1) = 162

⇢ 162 / 48

⇢ 3.375

(7) 0 = 18 + 3 (m + 12)

⇢ 0 = 18 + 3 (m + 12)

⇢ 0 = 18 + 3 + 36

⇢ 0 = 3m + 54

⇢ 3m = -54

⇢ m = -54/3

⇢ m = -18

Answer 2

(i) p + 9 = 3

⇒ p = 3 - 9

⇒ p = -6

(ii) 3z = 27

⇒ z = 27/3

⇒ z = 9

(iii) 2(p + 9) = -4

⇒ 2p + 18 = -4

⇒ 2p = -4 - 18

⇒ 2p = -22

⇒ p = -22/2

⇒ p = -11

(iv) 9x + 5 = 77

⇒ 9x = 77 - 5

⇒ 9x = 72

⇒ x = 72/9

⇒ x = 8

(v) 13x - 1/2 = 32

⇒ 13x = 32 + 1/2

⇒ 13x = 32 1/2

⇒ 13x = 65/2

⇒ x = 5/2

(vi) is a wrong question.

(vii) 0 = 18 + 3(m + 12)

⇒ 0 = 18 + 3m + 36

⇒ 0 = 54 + 3m

⇒ 0 = 3m + 54

⇒ 0 - 54 =3m + 54 - 54

⇒ -54 = 3m

⇒ -18 = m