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)​

Answer 1

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)

___________________

Given :

• (a + 2,4) and (5, 2a+b) are equal.

To find :

• (a,b)

Solution :

(a + 2,4) = (5, 2a+b)

Therefore :-

$\implies \: a + 2= 5$

$\implies \: a = 5 - 2$

$\implies \: a = 3$

Now again :-

$\implies \: 4 = 2a + b$

put a = 3

$\implies \: 4 = (2 \times 3) + b$

$\implies \: 4 = 6 + b$

$\implies \: 4 - 6= b$

$\implies \: - 2= b$

$\implies \:b = - 2$

(a,b) = (3 , -2)

Answer :

option 4) (3, -2) is correct.