PAGE NO 9.5:
Question 1:
Solve each of the following equation and also verify your solution:
ANSWER:
= y−
or 37/4 + 4/3 = y
or y = 127/12
∴ y = 127/12 for the given equation.
Check:
L.H.S =
R.H.S = 127/12− = 127/12−4/3 = (127−16)/12 = 111/12 =
So, L.H.S = R.H.S for y = 127/12
PAGE NO 9.5:
Question 2:
Solve each of the following equation and also verify your solution:
5x/3 + 2/5 = 1
ANSWER:
5x/3 + 2/5 = 1
⇒ 5x/3 = 1−2/5
⇒ 5x/3 = 3/5
⇒ x = 3/5 × 3/5 = 9/25
Verification:
L.H.S. = 5/3 × 9/25 + 2/5 = 3/5 + 2/5 = 1
R.H.S. = 1
∴ L.H.S. = R.H.S. for x = 9/25
PAGE NO 9.5:
Question 3:
Solve each of the following equation and also verify your solution:
x/2 + x/3 + x/4 = 13
ANSWER:
x/2 + x/3 + x/4 = 13
⇒ 13x/12 = 13
⇒ x = 13 × 12/13 = 12
Verification:
L.H.S. = 12/2 + 12/3 + 12/4 = 6 + 4 + 3 = 13 = R.H.S.
PAGE NO 9.5:
Question 4:
Solve each of the following equation and also verify your solution:
x/2 + x/8 = 1/8
ANSWER:
x/2 + x/8 = 1/8
or 5x/8 = 1/8
or x = 1/8 × 8/5 = 1/5
Verification:
L.H.S. = 1/2 × 1/5 + 1/8 × 1/5 = 1/10 + 1/40 = 5/40 = 1/8 = R.H.S.
PAGE NO 9.5:
Question 5:
Solve each of the following equation and also verify your solution:
2x/3−3x/8 = 7/12
ANSWER:
2x/3−3x/8 = 7/12
or 7x/24 = 7/12
or x = 7/12 × 24/7 = 2
Verification:
L.H.S. = 4/3−6/8
=
R.H.S. = 7/12
∴ R.H.S. = L.H.S. for x = 2
PAGE NO 9.5:
Question 6:
Solve each of the following equation and also verify your solution:
(x + 2)(x + 3) + (x − 3)(x − 2) − 2x(x + 1) = 0
ANSWER:
(x + 2)(x + 3) + (x−3)(x−2)−2x(x + 1) = 0
or x^{2} + 5x + 6 + x^{2}−5x + 6−2x^{2}−2x = 0
or 12−2x = 0
or x = 12/2 = 6
Verification:
L.H.S. = (6 + 2)(6 + 3) + (6−3)(6−2)−2 × 6(6 + 1)
= 72 + 12−84 = 0 = R.H.S.
AGE NO 9.5:
Question 7:
Solve each of the following equation and also verify your solution:
x/2−4/5 + x/5 + 3x/10 = 1/5
ANSWER:
x/2−4/5 + x/5 + 3x/10 = 1/5
or x/2 + x/5 + 3x/10 = 1/5 + 4/5
or 10x/10 = 1
or x = 1
Verification:
L.H.S. = 1/2−4/5 + 1/5 + 3/10
= 1/5 = R.H.S.
PAGE NO 9.5:
Question 8:
Solve each of the following equation and also verify your solution:
7/x + 35 = 1/10
ANSWER:
7/x + 35 = 1/10
or 7/x = 1/10−35
Verification:
= 349/−10 + 35 = 1/10 = R.H.S.
PAGE NO 9.5:
Question 9:
Solve each of the following equation and also verify your solution:
ANSWER:
or −24x + 3 = 15
or 24x = 3−15
or x = −12/24 = −1/2
Verification:
L.H.S. =
PAGE NO 9.5:
Question 10:
Solve each of the following equation and also verify your solution:
13(y − 4) − 3(y − 9) − 5(y + 4) = 0
ANSWER:
13(y−4)−3(y−9)−5(y + 4) = 0
or 13y−52−3y + 27−5y−20 = 0
or 5y = 45
or y = 45/5 = 9
Verification:
L.H.S. = 13(9−4)−3(9−9)−5(9 + 4)
= 13 × 5−3 × 0−5 × 13
= 0 = R.H.S.
PAGE NO 9.5:
Question 11:
Solve each of the following equation and also verify your solution:
2/3(x−5)−1/4(x−2) = 9/2
ANSWER:
2/3(x−5)−1/4(x−2) = 9/2
or 10x−68 = 108
or 10x = 108 + 68
or x = 176/10 = 88/5
Verification:
L.H.S. = 23(885−5)−14(885−2)
= 2/3 × 63/5−1/4 × 78/5 = 9/2 = R.H.S.
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