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 equation we get,
x - 1 + 1 = 0 + 1
x = 1

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(b) x + 1 = 0
Subtracting 1 from both sides of the equation we get,
x + 1 - 1 = 0 - 1
x = -1

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(c) x - 1 = 5
Adding 1 to both sides of the equation we get,
x - 1 + 1 = 5 + 1
x = 6

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(d) x + 6 = 2
Subtracting 6 from both sides of the equation we get,
x + 6 - 6 = 2 - 6
x = - 4

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(e) y - 4 = - 7
Adding 4 to both sides of the equation we get,
y - 4 + 4 = -7 + 4
y = -3

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(f) y - 4 = 4
Adding 4 to both sides of the equation we get,
y - 4 + 4 = 4 + 4
y = 8

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(g) y + 4 = 4
Subtracting 4 from both sides of the equation we get,|
y + 4 - 4 = 4 - 4
y = 0

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(h) y + 4 = - 4
Subtracting 4 from both sides of the equation we get,
y + 4 - 4 = - 4 - 4
y = - 8