Question

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 1

1. 10y = 80
   y = 10 is not a solution to the given equation because for y = 10,
   10y = 10 × 10 = 100 and not 80
2. 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.
3. 10y = 80
   y = 5 is not a solution to the given equation because for y = 5,
   10y = 10 × 5 = 50 and not 80
4. 4l = 20
   l = 20 is not a solution to the given equation because for l = 20,
   4l = 4 × 20 = 80 and not 20
5. 4l = 20
   l = 80 is not a solution to the given equation because for l = 80,
   4l = 4 × 80 = 320 and not 20
6. 4l = 20
   l = 5 is a solution to the given equation because for l = 5,
   4l = 4 × 5 = 20 and hence, the equation is satisfied.
7. b + 5 = 9
   b = 5 is not a solution to the given equation because for b = 5,
   b + 5 = 5 + 5 = 10 and not 9
8. b + 5 = 9
   b = 9 is not a solution to the given equation because for b = 9,
   b + 5 = 9 + 5 = 14 and not 9
9. b + 5 = 9
   b = 4 is a solution to the given equation because for b = 4,
   b + 5 = 4 + 5 = 9 and hence, the equation is satisfied.
10. h − 8 = 5
    h = 13 is a solution to the given equation because for h = 13,
    h − 8 = 13 − 8 = 5 and hence, the equation is satisfied.
11. h − 8 = 5
    h = 8 is not a solution to the given equation because for h = 8,
    h − 8 = 8 − 8 = 0 and not 5
12. h − 8 = 5
    h = 0 is not a solution to the given equation because for h = 0,
    h − 8 = 0 − 8 = −8 and not 5
13. p + 3 = 1
    p = 3 is not a solution to the given equation because for p = 3,
    p + 3 = 3 + 3 = 6 and not 1
14. p + 3 = 1
    p = 1 is not a solution to the given equation because for p = 1,
    p + 3 = 1 + 3 = 4 and not 1
15. p + 3 = 1
    p = 0 is not a solution to the given equation because for p = 0,
    p + 3 = 0 + 3 = 3 and not 1
16. p + 3 = 1
    p = −1 is not a solution to the given equation because for p = −1,
    p + 3 = −1 + 3 = 2 and not 1
17. p + 3 = 1
    p = −2 is a solution to the given equation because for p = −2,
    p + 3 = − 2 + 3 = 1 and hence, the equation is satisfied.