Question

Find the value of b for equation 4 /9 x b = 16​

Answer 1

Answer:

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.

Step-by-step explanation:

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Answer 2

Answer:

x2 + 5x – 2 = 0

Only one variable x.

Maximum index = 2

So, it is a quadratic equation.

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