Question

if the ordered pair (x -1) ,(5, y) belong to the set {(a,b)|b=2a-3} find a and b​

Answer 1

if you put a=1,2

the two ordered pairs will be

(1,-1),(2,1)

now we compare these pairs with (x, -1),(5,y)

so, x=1 and y=1

Answer 2

Question :–

• If the ordered pair (x , -1) ,(5, y) belong to the set {(a,b)| b = 2a - 3} , find x and y .

ANSWER :–

$\\ \longrightarrow \: \large{ \red{ \bold{ x = 1 \: , \: y = 7 }}}$

EXPLANATION :–

GIVEN :–

$\: \: {\huge{.}} \: \: { \bold{(x , - 1) \: and \: (5, y) \in \: \{ (a,b) \: where \: b = 2a - 3 } \}}$

TO FIND :–

• Value of x and y .

SOLUTION :–

• First ordered (x , -1) pair belongs to the given function b = 2a - 3 , So that –

$\\ \implies{ \bold{ (- 1) = 2(x) - 3}}$

$\\ \implies{ \bold{ 3- 1 = 2x }}$

$\\ \implies{ \bold{ 2 = 2x }}$

$\\ \implies \large{ \red{ \boxed{ \bold{ x = 1 }}}}$

• First ordered (5 , y) pair belongs to the given function b = 2a - 3 , So that –

$\\ \implies{ \bold{ y = 2(5) - 3}}$

$\\ \implies{ \bold{ y = 10 - 3}}$

$\\ \implies \large{ \red{ \boxed{ \bold{ y = 7 }}}}$

Hence , The value of x is 1 and y is 7.