NCERT Solution class 7 Mathematics EXERCISE- 4.3
CHAPTER – 4
EXERCISE – 4.3
Q1. Solve the following equations:
(a) 2y + 5/2 = 37/2
SOLUTION:-
= 2y = 37/2 – 5/2
= 2y = 32/2
= 2y = 16
= y = 16/2
= y = 8
(b) 5t + 28 = 10
SOLUTION:-
= 5t = 10 – 28
= 5t = -18
= t = -18/5
(c) a/5 + 3 = 2
SOLUTION:-
= a/5 = 2 – 3
= a/5 = -1
= a = -5
(d) q/4 + 7 = 5
SOLUTION:-
= q/4 = 5 – 7
= q/4 = -2
= q = -8
(e) 5/2 x = -5
SOLUTION:-
= 5x = -5 x 2
= 5x = -10
= x = -2
(f) 5/2 x = 25/4
SOLUTION:-
= x = 50/20
= x = 5/2
(g) 7m + 19/2 = 13
SOLUTION:-
= 7m = 13 – (19/2)
= 7m =(26-19)/2
= 7m = 7/2
Now,
Divide both side by 7.
= 7m/7 = (7/2)/7
= m = (7/2) x (1/7)
=m= ½
(h) 6z + 10 = -2
SOLUTION:-
= 6z = -2 -10
= 6z = – 12
= z = -12/6
= z = -2
(i) 3L/2 = 2/3
Solution:-
= L = 2 x2 / 3×3
= L = 4/9
(j) 2b/3 – 5 = 3
SOLUTION:-
= 2b/3 = 3 +5
= 2b/3 = 8
= 2b = 8 x 3
= 2b = 24
= b = 24/2
= b = 12
Q2.Solve the following equations:
(a) 2 ( x + 4 ) = 12
SOLUTION:-
= 2x + 8 = 12
= 2x = 12 – 8
= 2x = 4
= x = 4/2
= x = 2
(b) 3 (n-5) = 21
SOLUTION:-
= 3n – 15 = 21
= 3n = 21 + 15
= 3n = 36
= n = 36/3
= n = 12
(c) 3 (n – 5) = -21
SOLUTION:-
= 3n -15 = -21
= 3n = -21 + 15
= 3n = -6
= n = -6/3
= n = -2
(d) -4 ( 2 +x ) = 8
SOLUTION:-
= -8 + ( -4x) = 8
= -8 – 4x = 8
= -4x = 8 + 8
= -4x = 16
= x = 16/-4
= x = -4
(e) 4(2-x) = 8
SOLUTION:-
= 8 -4x = 8
= -4x = 8 – 8
= -4x = 0
= x = 0/-4
= x = 0
Q3. Solve the following equations:
(a) 4 = 5(p-2)
SOLUTION:-
= 4 = 5p – 10
= 4 = 5p -10
= 4 + 10 = 5p
= 14 = 5p
= 14/5 = p
p = 14/5
(b) -4 = 5(p-2)
SOLUTION:-
= -4 = 5p – 10
= -4 + 10 = 5p
= 6 = 5p
= 6/5 = p
= p = 6/5
(c) 16 = 4 + 3(t+2)
SOLUTION:-
= 16 = 4 + 3t + 6
= 16 = 10 + 3t
= 16 – 10 = 3t
= 6 = 3t
= 6/3 = t
= 2 = t
= t = 2
(d) 4 + 5(p-1) = 34
SOLUTION:-
= 4 + 5p -5 = 34
= 5p = 34 + 5 – 4
= 5p = 35
= p = 35/5
= p = 7
(e) 0 = 16 + 4(m-6)
SOLUTION:-
= 0 = 16 + 4m – 24
= 0 = 16 – 24 + 4m
= 0 = -8 + 4m
= 8 = 4m
= 8/4 = m
= 2 = m
= m = 2
Q4. (a) Construct 3 equations starting with x = 2
SOLUTION :-
First equation is,
Multiply both side by 6
= 6x = 12 [ equation 1]
Second equation is,
Subtracting 4 from both side ,
= 6x- 4 = 12 – 4
= 6x -4 = 8 [ equation 2]
Thirds equation is,
Divide both side by 6 .
= 6x/6 – (4/6) = (8/6)
= x – (4/6) = (8/6) [ equation 3]
(b) Construct 3 equations starting with x = -2
SOLUTION:-
=First equation is,
Multiply both sides by 5
= 5x = -10 [ equation 1]
Second equation is ,
Subtracting 3 from both sides ,
= 5x – 3 = -10 – 3
= 5x – 3 = -13 [ equation 2]
Third equation is ,
Dividing both sides by 2
= (5x/2) – (3/2) = (-13/2) [ equation 3]