If x=a and y=b is the solution of the equation x-y=2 and x+y=4 then ghe values of a and b are respectively
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Step-by-step explanation:
x - y = 2 _ (1)
x + y = 4 _ (2)
(1) + (2) ,
2x = 6
or, x = 3 i.e., a = 3
and y = 4 - x = 1 i.e., b = 1
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☘ Qυᥱ᥉էᎥ᥆ꪀ :-
If x = a and y = b is the solution of the equation x - y = 2 and x + y = 4 then ghe values of a and b are respectively.
☘ Ꮪ᥆ℓυէᎥ᥆ꪀ :-
★ Given:-
x = a and y = b is the solution of the equation x - y = 2 and x + y = 4
★ To find:-
The values of a and b.
⠀⠀
Now, the given pair of linear equations is :
a - b = 2 — eq.(i)
a + b = 4⠀⠀ — eq.(ii)
On adding Eqs. (i) and (ii), we get
2a = 6
⇒ a = 3
Putting a = 3 in eq.(ii), we get
3 + b = 4
⇒ b = 4 - 3
∴ b = 1
Hence, a = 3 and b = 1.
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