Question

Determine the values of a And b ,when: (2,a)=(b,-1)​

Answer 1

Answer:

A=7 , B=3

Step-by-step explanation:

Correct option is

C

a=7,b=3

2x−(a−4)y=2b+1

4x−(a−1)y=5b−1

Considering 2x−(a−4)y=2b+1

Comparing with

a

1

x+b

1

y=c

1

a

1

=2

b

1

=−(−a−4)

and c

1

=2b+1

Now considering 4x−(a−1)y=5b−1

Comparing with

a

2

x+b

2

y=c

2

a

2

=4

b

2

=−(a−1)

and c

2

=5b−1

For infinite number of solutions ,

a

2

a

1

=

b

2

b

1

=

c

2

c

1

∴

4

2

=

−(a−1)

−(a−4)

=

5b−1

2b+1

Considering

a−1

a−4

=

2

1

⇒2a−8=a−1

⇒a=7

And now for b consider

5b−1

2b+1

=

2

1

⇒4b+2=5b−1

∴b=3

∴ The given system of equation will have infinitely many solution if a=7 and b=3