Question

Y =a+b/x, a and b are real numbers if y-1, when x= -1 and y=5, when x=-5 then a + b is equal to (A)-1
(B)0
(C)11
(D)10​

Answer 1

Answer:

9

Step-by-step explanation:

y=a+b/x

(-1)=a-b

a=b-1......eqn(1)

5=a+b/5

25=5a+b

5a=25-b.....eqn(2)

adding eqn (1) and (2)

6a=24

a =4

from eqn (1)

b=a+1

b=4+1

b=5

therefore

a+b=4+5

therefore

a+b=9

Answer 2

Answer:

c) 11

Step-by-step explanation:

Given y= a+b/x

when y= 1 and x=-1

=> 1=a+b/-1

=> 1=a-b

Therefore, 1+b=a -------> Eq.1

When y=5 and x= -5

=> 5= a+b/-5

=> 5= a-b/5

=> 5= 5a-b/5

=> 25= 5a-b

=> 25= 5( 1+b) - b   {on Substituting Eq.1}

=> 25=5+ 5b - b

=> 20=4b

Therefore, b = 20/4 = 5

Now substituting value of b in Eq.1

=> 1 + 5 = a

Therefore, a= 6

Therefore the value of a+b=

6+5= 11