Question

Give first the step you will use to separate the variable and then solve the equation:
(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​

Answer 1

Solution :

(A) x – 1 = 0

On adding 1 to both sides of the given equation, we obtain

x – 1 + 1 = 0 + 1 ⇒ x = 1

(B) x + 1 = 0

On subtracting 1 from both sides of the given equation, we obtain

x + 1 – 1 = 0 – 1 ⇒ x = – 1

(C) x – 1 = 5

On adding 1 to both sides of the given equation, we obtain

x – 1 + 1 = 5 + 1 ⇒ x = 6

(D) x + 6 = 2

On subtracting 6 from both sides of the given equation, we obtain

x + 6 – 6 = 2 – 6 ⇒ x = – 4

(E) y – 4 = – 7

On adding 4 to both sides of the given equation, we obtain

y – 4 + 4 = – 7 + 4 ⇒ y = – 3

(F) y – 4 = 4

On adding 4 to both sides of the given equation, we obtain

y – 4 + 4 = 4 + 4 ⇒ y = 8

(G) y + 4 = 4

On subtracting 4 from both sides of the given equation, we obtain

y + 4 – 4 = 4 – 4 ⇒ y = 0

(H) y + 4 = – 4

On subtracting 4 from both sides of the given equation, we obtain

y + 4 – 4 = – 4 – 4 ⇒ y = – 8

Thanks ..!!!

Answer 2

a) x-1=0

x=1

b) x+1=0

x= -1

c) x-1=5

x=5+1

x=6

d) x+6=2

x=2-6

x= -4

e)y-4= -7

y= -7+4

y= -3

f)y -4 = 4

y= 4+4

y=8

g)y+4=4

y=4-4

y=0

h)y+4= -4

y= -4-4

y= - 8