2. Solve each of the following equations by using
inverse operations :
A. (i) a + 7 = 12
(ii) 10 + c = 23
(iii) 9 = d + 2
(iv) h + 8 = -12
1
(v) x + 9.2 = 10
(vi) a + 3 = 5
2 1
2
(viii) y + 10 = 10
(vii)
-+n
3 3
Answers
Answer:
2. Solve each of the following equations by using
inverse operations :
A. (i) a + 7 = 12
(ii) 10 + c = 23
(iii) 9 = d + 2
(iv) h + 8 = -12
1
(v) x + 9.2 = 10
(vi) a + 3 = 5
2 1
2
(viii) y + 10 = 10
(vii)
-+n
3 3
Answer:
(i) a = 5
(ii) c = 13
(iii) d = 7
(iv) h = -20
(v) x = 0.8
(vi) a = 2
(vii) Incomplete Question
(viii) y = 0
Step-by-step explanation:
(i) a + 7 = 12
=> a + 7 - 7 = 12 - 7 [Subtracting 7 from both sides of the equation]
=> a = 5
(ii) 10 + c = 23
=> 10 + c - 10 = 23 - 10 [Subtracting 10 from both sides of the equation]
=> c = 13
(iii) 9 = d + 2
=> 9 - d = d + 2 - d [Subtracting d from both sides of the equation]
=> 9 - d - 9 = 2 - 9 [Subtracting 9 from both sides of the equation]
=> -d = -7
=> d = 7 [Multiplying both sides of the equation by (-1)]
(iv) h + 8 = -12
=> h + 8 - 8 = -12 -8 [Subtracting 8 from both sides of the equation]
=> h = -20
(v) x + 9.2 = 10
=> x + 9.2 - 9.2 = 10 - 9.2 [Subtracting 9.2 from both sides of the equation]
=> x = 0.8
(vi) a + 3 = 5
=> a + 3 - 3 = 5 - 3 [Subtracting 3 from both sides of the equation]
=> a = 2
(vii) Incomplete Question
(viii) y + 10 = 10
=> y + 10 - 10 = 10 - 10 [Subtracting 10 from both sides of the equation]
=> y = 0