Find the value of k if x = 3 and Y = 1 is a solution of the equation. (K -2) x + 5 y =5.
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k = 2
Step-by-step explanation:
QUESTION :-
Find the value of k, if x = 3 and y = 1 is a solution of the equation.
(k - 2)x + 5y = 5
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SOLUTION :-
x = 3 ; y = 1
(k - 2)x + 5y = 5
[put the value of x & y]
=> (k - 2)3 + 5(1) = 5
=> 3(k) - 3(2) + 5 = 5
= 3k - 6 = 5-5
=> 3k - 6 = 0
=> 3k = 6
=> k = 6 ÷ 3
=> k = 2
Hence,
The value of k is 2 .
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TO VERIFY :-
x = 3 ; y = 1 ; k = 2
(k - 2)x + 5y = 5
=> (2 - 2)3 + 5(1) = 5
=> 0×3 + 5 = 5
=> 0 + 5 = 5
=> 5 = 5
=> LHS = RHS
hence verified.
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Hope it helps.
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