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Give first the step you will use to separate the variable and then solve the equations:

(a)x - 1 = 0

(b) x + 1 = 0

(c) x - 1 = 5

(d) x + 6 = 2

(e) y - 4 = -7

(f) y - 4 = 4

(g) y + 4 = 4

(h) y + 4 = -4

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(a) x - 1 = 0 

⇒ x - 1 + 1 = 0 +1 [Adding 1 both sides] 

⇒ x = 1 

(b) x + 1 = 0 

⇒ x + 1 - 1 = 0 -1  [Subtracting 1 both sides]

 ⇒ x = -1 

(c) x - 1 = 5 

⇒ x - 1 + 1 = 5 +1 [Adding 1 both sides] 

⇒ x = 6 

(d) x + 6 = 2 

⇒ x + 6 - 6 = 2 - 6 [Subtracting 6 both sides] 

⇒ x = -4 

(e) y - 4 = -7 

⇒ y - 4 + 4 = - 7 + 4 [Adding 4 both sides] ⇒ y  = -3 

(f) y - 4 = 4 

⇒ y - 4 + 4 = 4 + 4 [Adding 4 both sides] 

⇒ y = 8 

(g) y + 4 = 4 

⇒ y + 4 - 4 = 4 - 4 [Subtracting 4 both sides] ⇒ y = 0 

(h) y + 4 = -4

⇒ y + 4 - 4 = - 4 - 4 [Subtracting 4 both sides] ⇒ y - -8

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