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

(a) x − 1 = 0

Adding 1 to both sides of the given equation, we obtain

x − 1 + 1 = 0 + 1

x = 1

(b) x + 1 = 0

Subtracting 1 from both sides of the given equation, we obtain

x + 1 − 1 = 0 − 1

x = −1

(c) x − 1 = 5

Adding 1 to both sides of the given equation, we obtain

x − 1 + 1 = 5 + 1

x = 6

(d) x + 6 = 2

Subtracting 6 from both sides of the given equation, we obtain

x + 6 − 6 = 2 − 6

x = −4

(e) y − 4 = −7

Adding 4 to both sides of the given equation, we obtain

y − 4 + 4 = − 7 + 4

y = −3

(f) y − 4 = 4

Adding 4 to both sides of the given equation, we obtain

y − 4 + 4 = 4 + 4

y = 8

(g) y + 4 = 4

Subtracting 4 from both sides of the given equation, we obtain

y + 4 − 4 = 4 − 4

y = 0

(h) y + 4 = −4

Subtracting 4 from both sides of the given equation, we obtain

y + 4 − 4 = − 4 − 4

y = −8