Ncert solutions

Ncert solutions

Grade 7

Simple Equations | Exercise 4.2

Question 1

Q1) 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

Solution 1:

(a) x-1 = 0

(adding 1to both sides )

x-1+1 = 0+1

x= 1

(b) x+1=0

( subtracting 1from both sides)

x+1-1 = 0-1

x= -1

(c) x-1=5

(adding 1 to both sides )

x-1+1 = 5 +1

x= 6

(d) x+6 = 2

( subtracting 6 from both sides)

x+6-6 = 2-6

x= -4

(e) y-4= -7

(adding 4 on both sides)

y-4 +4 = -7+4

y = -3

(f) y-4 = 4

(adding 4 on both sides )

y-4+4 = 4+4

y = 8

(g) y+4 = 4

(subtracting 4 on both sides)

y+4-4 = 4-4

y = 0

(h) y+4 = -4

(subtracting 4 on both side)

y+4 -4 = -4-4

y = -8

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subject-cta

Question 1

Q1) 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

Solution 1:

(a) x-1 = 0

(adding 1to both sides )

x-1+1 = 0+1

x= 1

(b) x+1=0

( subtracting 1from both sides)

x+1-1 = 0-1

x= -1

(c) x-1=5

(adding 1 to both sides )

x-1+1 = 5 +1

x= 6

(d) x+6 = 2

( subtracting 6 from both sides)

x+6-6 = 2-6

x= -4

(e) y-4= -7

(adding 4 on both sides)

y-4 +4 = -7+4

y = -3

(f) y-4 = 4

(adding 4 on both sides )

y-4+4 = 4+4

y = 8

(g) y+4 = 4

(subtracting 4 on both sides)

y+4-4 = 4-4

y = 0

(h) y+4 = -4

(subtracting 4 on both side)

y+4 -4 = -4-4

y = -8

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Book a free class now

Want to top your mathematics exam ?

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Book a free class now
subject-cta
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