Question

5) Find the value of "a" in the following table
X
2
Y
10
(a) x, y vary directly
(b) x, y vary inversely​

Answer 1

Answer:

ANSWER

Since the given equations are consistent,

a

2

a

1

=

b

2

b

1

=

c

2

c

1

......(a)

Considering the equations,

(a+1)

3

x+(a+2)

3

y=(a+3)

3

......(1)

(a+1)x+(a+2)y=(a+3).....(2)

From (a)

(a+1)

(a+1)

3

=

(a+2)

(a+2)

3

=

(a+3)

(a+3)

3

Considering 1st and 2nd terms, we have,

(a+1)

(a+1)

3

=

(a+2)

(a+2)

3

(a+1)

2

=(a+2)

2

a

2

+2a+1=a

2

+4a+4

−3=2a

⇒a=

2

−3