Question

If the ordered pairs (10, 5 + 2b) and (2a + 3b, 9) are equal then (a, b) is ____

Answer 1

Answer:

4) (3,-2)

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

Step-by-step 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= 5a+2=5

\Rightarrow\ a=5-2=3⇒ a=5−2=3   (3)

Put value of a in (2) , we get

4=2(3)+b4=2(3)+b

4=6+b4=6+b

b=4-6b=4−6

b=-2b=−2     (4)

From (3) and (4)  ,  (a,b) =(3,-2)

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

Answer 2

Answer:

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