# NCERT Solutions for Class 7 Maths Exercise 4.3 Chapter 4 Simple Equations

NCERT Solutions for Class 7 Maths Exercise 4.3 Chapter 4 Simple Equations in simple PDF are provided here. In this exercise of NCERT Solutions for Class 7 Maths Chapter 4, students are going to solve some more equations. While solving these equations, students shall learn about transposing a number, i.e., moving it from one side to the other. We can transpose a number instead of adding or subtracting it from both sides of the equations. We suggest students go through these NCERT Solutions for Class 7 Maths Chapter 4 and gain more knowledge.

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations â€“ Exercise 4.3

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### Access answers to NCERT Solutions for Class 7 Maths Chapter 4 â€“ Simple Equations Exercise 4.3

1. Solve the following equations:

(a) 2y + (5/2) = (37/2)

Solution:-

By transposing (5/2) from LHS to RHS it becomes -5/2

Then,

= 2y = (37/2) â€“ (5/2)

= 2y = (37-5)/2

= 2y = 32/2

Now,

Divide both sides by 2,

= 2y/2 = (32/2)/2

= y = (32/2) Ã— (1/2)

= y = 32/4

= y = 8

(b) 5t + 28 = 10

Solution:-

By transposing 28 from LHS to RHS it becomes -28

Then,

= 5t = 10 â€“ 28

= 5t = â€“ 18

Now,

Divide both sides by 5,

= 5t/5= -18/5

= t = -18/5

(c) (a/5) + 3 = 2

Solution:-

By transposing 3 from LHS to RHS it becomes -3

Then,

= a/5 = 2 â€“ 3

= a/5 = â€“ 1

Now,

Multiply both sides by 5,

= (a/5) Ã— 5= -1 Ã— 5

= a = -5

(d) (q/4) + 7 = 5

Solution:-

By transposing 7 from LHS to RHS it becomes -7

Then,

= q/4 = 5 â€“ 7

= q/4 = â€“ 2

Now,

Multiply both sides by 4,

= (q/4) Ã— 4= -2 Ã— 4

= a = -8

(e) (5/2) x = -5

Solution:-

First we have to multiply both the sides by 2,

= (5x/2) Ã— 2 = â€“ 5 Ã— 2

= 5x = â€“ 10

Now,

We have to divide both the sides by 5,

Then we get,

= 5x/5 = -10/5

= x = -2

(f) (5/2) x = 25/4

Solution:-

First we have to multiply both the sides by 2,

= (5x/2) Ã— 2 = (25/4) Ã— 2

= 5x = (25/2)

Now,

We have to divide both the sides by 5,

Then we get,

= 5x/5 = (25/2)/5

= x = (25/2) Ã— (1/5)

= x = (5/2)

(g) 7m + (19/2) = 13

Solution:-

By transposing (19/2) from LHS to RHS it becomes -19/2

Then,

= 7m = 13 â€“ (19/2)

= 7m = (26 â€“ 19)/2

= 7m = 7/2

Now,

Divide both sides by 7,

= 7m/7 = (7/2)/7

= m = (7/2) Ã— (1/7)

= m = Â½

(h) 6z + 10 = â€“ 2

Solution:-

By transposing 10 from LHS to RHS it becomes â€“ 10

Then,

= 6z = -2 â€“ 10

= 6z = â€“ 12

Now,

Divide both sides by 6,

= 6z/6 = -12/6

= m = â€“ 2

(i) (3/2) l = 2/3

Solution:-

First we have to multiply both the sides by 2,

= (3l/2) Ã— 2 = (2/3) Ã— 2

= 3l = (4/3)

Now,

We have to divide both the sides by 3,

Then we get,

= 3l/3 = (4/3)/3

= l = (4/3) Ã— (1/3)

= x = (4/9)

(j) (2b/3) â€“ 5 = 3

Solution:-

By transposing -5 from LHS to RHS it becomes 5

Then,

= 2b/3 = 3 + 5

= 2b/3 = 8

Now,

Multiply both sides by 3,

= (2b/3) Ã— 3= 8 Ã— 3

= 2b = 24

And,

Divide both sides by 2,

= 2b/2 = 24/2

= b = 12

2. Solve the following equations:

(a) 2(x + 4) = 12

Solution:-

Let us divide both the sides by 2,

= (2(x + 4))/2 = 12/2

= x + 4 = 6

By transposing 4 from LHS to RHS it becomes -4

= x = 6 â€“ 4

= x = 2

(b) 3(n â€“ 5) = 21

Solution:-

Let us divide both the sides by 3,

= (3(n â€“ 5))/3 = 21/3

= n â€“ 5 = 7

By transposing -5 from LHS to RHS it becomes 5

= n = 7 + 5

= n = 12

(c) 3(n â€“ 5) = â€“ 21

Solution:-

Let us divide both the sides by 3,

= (3(n â€“ 5))/3 = â€“ 21/3

= n â€“ 5 = -7

By transposing -5 from LHS to RHS it becomes 5

= n = â€“ 7 + 5

= n = â€“ 2

(d) â€“ 4(2 + x) = 8

Solution:-

Let us divide both the sides by -4,

= (-4(2 + x))/ (-4) = 8/ (-4)

= 2 + x = -2

By transposing 2 from LHS to RHS it becomes â€“ 2

= x = -2 â€“ 2

= x = â€“ 4

(e) 4(2 â€“ x) = 8

Solution:-

Let us divide both the sides by 4,

= (4(2 â€“ x))/ 4 = 8/ 4

= 2 â€“ x = 2

By transposing 2 from LHS to RHS it becomes â€“ 2

= â€“ x = 2 â€“ 2

= â€“ x = 0

= x = 0

3. Solve the following equations:

(a) 4 = 5(p â€“ 2)

Solution:-

Let us divide both the sides by 5,

= 4/5 = (5(p â€“ 2))/5

= 4/5 = p -2

By transposing â€“ 2 from RHS to LHS it becomes 2

= (4/5) + 2 = p

= (4 + 10)/ 5 = p

= p = 14/5

(b) â€“ 4 = 5(p â€“ 2)

Solution:-

Let us divide both the sides by 5,

= â€“ 4/5 = (5(p â€“ 2))/5

= â€“ 4/5 = p -2

By transposing â€“ 2 from RHS to LHS it becomes 2

= â€“ (4/5) + 2 = p

= (- 4 + 10)/ 5 = p

= p = 6/5

(c) 16 = 4 + 3(t + 2)

Solution:-

By transposing 4 from RHS to LHS it becomes â€“ 4

= 16 â€“ 4 = 3(t + 2)

= 12 = 3(t + 2)

Let us divide both the sides by 3,

= 12/3 = (3(t + 2))/ 3

= 4 = t + 2

By transposing 2 from RHS to LHS it becomes â€“ 2

= 4 â€“ 2 = t

= t = 2

(d) 4 + 5(p â€“ 1) =34

Solution:-

By transposing 4 from LHS to RHS it becomes â€“ 4

= 5(p â€“ 1) = 34 â€“ 4

= 5(p â€“ 1) = 30

Let us divide both the sides by 5,

= (5(p â€“ 1))/ 5 = 30/5

= p â€“ 1 = 6

By transposing â€“ 1 from RHS to LHS it becomes 1

= p = 6 + 1

= p = 7

(e) 0 = 16 + 4(m â€“ 6)

Solution:-

By transposing 16 from RHS to LHS it becomes â€“ 16

= 0 â€“ 16 = 4(m â€“ 6)

= â€“ 16 = 4(m â€“ 6)

Let us divide both the sides by 4,

= â€“ 16/4 = (4(m â€“ 6))/ 4

= â€“ 4 = m â€“ 6

By transposing â€“ 6 from RHS to LHS it becomes 6

= â€“ 4 + 6 = m

= m = 2

4. (a) Construct 3 equations starting with x = 2

Solution:-

First equation is,

Multiply both sides by 6

= 6x = 12 â€¦ [equation 1]

Second equation is,

Subtracting 4 from both sides,

= 6x â€“ 4 = 12 -4

= 6x â€“ 4 = 8 â€¦ [equation 2]

Third equation is,

Divide both sides by 6

= (6x/6) â€“ (4/6) = (8/6)

= x â€“ (4/6) = (8/6) â€¦ [equation 3]

(b) Construct 3 equations starting with x = â€“ 2

Solution:-

First equation is,

Multiply both sides by 5

= 5x = -10 â€¦ [equation 1]

Second equation is,

Subtracting 3 from both sides,

= 5x â€“ 3 = â€“ 10 â€“ 3

= 5x â€“ 3 = â€“ 13 â€¦ [equation 2]

Third equation is,

Dividing both sides by 2

= (5x/2) â€“ (3/2) = (-13/2) â€¦ [equation 3]

### Access Other Exercises of NCERT Solutions for Class 7 Maths Chapter 4 â€“ Simple Equations

Exercise 4.1 Solutions

Exercise 4.2 Solutions

Exercise 4.4 Solutions

Also, explore â€“Â

NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7Â

NCERT Solutions