Please answer ASAP with explanation.
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Answer:
Option (a)
(-3,2)
Step-by-step explanation:
Given :-
(2a+b,11) and (1,a-3b) are equal ordered pair
To find:-
Find (a,b)?
Solution:-
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
=> (2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ---------------(1)
11 = a-3b
=> a-3b = 11 -----------(2)
=> a = 11+3b------------(3)
On substituting the value of a in (1) then
=> 2(11+3b) + b = 1
=>(2×11)+(2×3b) + b = 1
=> 22 +6b+b = 1
=> 22+7b = 1
=> 7b = 1-22
=> 7b = -21
=> b = -21/7
=> b = -3
On substituting the value of b in (3) then
=> a = 11+3(-3)
=> a = 11-9
=> a = 2
Therefore, a = -3 and b = 2
Answer:-
The value of (a,b) for the given problem is (-3,2)
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