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

The parts of the given question are solved below:


(a) We have to separate the variables


Thus, x – 1 = 0


Now,


Adding 1 on both side of the equation,


We get,


x – 1 + 1 = 0 + 1


x = 1


(b) Here, we have to separate the variables


We have,


x + 1 = 0


Now,


Subtracting 1 on both side of the equation,


We get,


x – 1 + 1 = 0 – 1


x = -1


(c) Here, we have to separate the variables


We have,


x – 1 = 5


Now,


Adding 1 on both side of the equation,


We get,


x – 1 + 1 = 5 + 1


x = 6


(d) Here, we have to separate the variables


We have,


x + 6 = 2


Now, subtracting 6 on both side of the equation,


We get,


x + 6 - 6 = 2 – 6


x = -4


(e) Here, we have to separate the variables


We have,


y – 4 = -7


Now,


Adding 4 on both side of the equation,


We get,


x – 4 + 4 = -7 + 4


x = -3


(f) Here, we have to separate the variables


We have,


y – 4 = 4


Now,


Adding 4 on both side of the equation,


We get,


x – 4 + 4 = 4 + 4


x = 8


(g) Here, we have to separate the variables


Thus,


We have,


y + 4 = 4


Now,


Subtracting 4 on both side of the equation,


We get,


x + 4 - 4 = 4 - 4


x = 0


(h) Here,


We have to separate the variables


Thus,


We have,


y + 4 = -4


Now,


Subtracting 4 on both side of the equation,


We get,


x + 4 – 4 = -4 – 4


x = -8


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