Question

If the ordered pairs (a +2,4) and (5,2a + b) are equal then (a,b) is
(1(2.-2) (2) (5.1)
(3) (2,3)
(4) (3,-2) explain it​

Answer 1

Answer:

Answer is (4) part.

EXPLANATION :

If ordered pairs are equal, then there domain and range are also equal.

So, a+2=5

So, a=5-2

a=3

Now 4=2a+b

Putting the value of a, we get;

4=3×2+b

So,4=6+b

Therefore b=-2.

HOPE IT IS HELPFUL! ☺️☺️☺️

Answer 2

4) (3,-2)

The value of (a,b) is (3,-2) .

Explanation:

If the ordered pairs (a +2,4) and (5, 2a + b) are equal ,

then it means that the x-coordinates of both pairs are equal .

i.e. a+2= 5      (1)

and the y-coordinates of both pairs are equal .

i.e. 4=2a+b   (2)

From (1) , $a+2= 5$

$\Rightarrow\ a=5-2=3$   (3)

Put value of a in (2) , we get

$4=2(3)+b$

$4=6+b$

$b=4-6$

$b=-2$     (4)

From (3) and (4)  ,  (a,b) =(3,-2)

Hence, the correct answer is 4) (3,-2) .

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