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Algebra

Question 2:

Complete the entries in the third column of the table.

S. No.

Equation

Value of variable

Equation satisfied Yes/No

(a)

10y = 80

y = 10

-

(b)

10y = 80

y = 8

-

(c)

10y = 80

y = 5

-

(d)

4l = 20

l = 20

-

(e)

4l = 20

l = 80

-

(f)

4l = 20

l = 5

-

(g)

b + 5 = 9

b =5

-

(h)

b + 5 = 9

b = 9

-

(i)

b + 5 = 9

b = 4

-

(j)

h − 8 = 5

h = 13

-

(k)

h − 8 = 5

h = 8

-

(l)

h − 8 = 5

h = 0

-

(m)

p + 3 = 1

p = 3

-

(n)

p + 3 = 1

p = 1

-

(o)

p + 3 = 1

p = 0

-

(p)

p + 3 = 1

P = − 1

-

(q)

p + 3 = 1

P = − 2

-

Answer:

(a) 10y = 80

y = 10 is not a solution to the given equation because for y = 10,

10y = 10 × 10 = 100, and not 80

(b) 10y = 80

y = 8 is a solution to the given equation because for y = 8,

10y = 10 × 8 = 80 and hence, the equation is satisfied.

(c) 10y = 80

y = 5 is not a solution to the given equation because for y = 5,

10y = 10 × 5 = 50, and not 80

(d) 4l = 20

l = 20 is not a solution to the given equation because for l = 20,

4l = 4 × 20 = 80, and not 20

(e) 4l = 20

l = 80 is not a solution to the given equation because for l = 80,

4l = 4 × 80 = 320, and not 20

(f) 4l = 20

l = 5 is a solution to the given equation b...

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