Question

If (2x - 1, y + 4) = (11, 11), then (x, y) = ​

Answer 1

Step-by-step explanation:

Given :-

(2x - 1, y + 4) = (11, 11)

To find :-

Find the value of (x,y) ?

Solution :-

Given order pair is (2x - 1, y + 4) = (11, 11)

We know that

If (x,y) = (a,b) then x = a and y = b

Now,

(2x - 1, y + 4) = (11, 11)

=> 2x-1 = 11 and y+4 = 11

on taking 2x-1 = 11

=> 2x = 11+1

=> 2x = 12

=> x = 12/2

=> x = 6

Therefore, x = 6

and

on taking y+4 = 11

=> y = 11-4

=> y = 7

Therefore, y = 7

Therefore, (x,y) = (6,7)

Answer:-

The value of (x,y) is (6,7)

Check:-

If x = 6 and y = 7 then (2x - 1, y + 4)

=> (2×6-1 , 7+4)

=> (12-1 , 11)

=> (11,11)

Verified the given relations in the given problem.

Used Concept:-

If two order pairs are equal then the corresponding antecedents are equal and the corresponding consequents are equal.

Used formulae:-

If (x,y) = (a,b) then x = a and y = b

Answer 2

1. 2x=11+1=12
2. 2x=12/2=6
3. y=11-4=7
4. y=7

x=6

y=7