MATHEMATICS
EXERCISE 4.2
(a) x – 1 = 0
(b) x + 1 = 0
(e) y - 4 =-7 (f) y - 4 = 4 (g) y + 4 = 4
Give first the step you will use to separate the variable and then so
(d) x + 6 = 2
(h) y + 4 = 4
sub
(i.e
fro
nu
2. Give first the step you will use to separate the variable and then solve the equation
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ANSWER
(a) x–1=0
(a) x–1=0(b) x+1=0
(a) x–1=0(b) x+1=0(c) x–1=5
(a) x–1=0(b) x+1=0(c) x–1=5(d) x+6=2
(a) x–1=0(b) x+1=0(c) x–1=5(d) x+6=2(e) y–4=–7
(a) x–1=0(b) x+1=0(c) x–1=5(d) x+6=2(e) y–4=–7(f) y–4=4
(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
(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
(a) x–1=0 ⇒ x–1+1=0+1 [Adding 1 both sides]
(a) x–1=0 ⇒ x–1+1=0+1 [Adding 1 both sides]⇒ x=1
(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]
(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
(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]
(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
(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]
(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
(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]
(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
(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]
(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
(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]
(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
(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]
(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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