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2x+5y=20 and 5x+2y=50.find the value f x and y
 

Asked by Arpit 31st July 2016, 12:13 PM
Answered by Expert
Answer:
begin mathsize 16px style 2 x plus 5 y equals 20 space space space space space space.... left parenthesis 1 right parenthesis
5 x plus 2 y equals 50 space space space space space space.... left parenthesis 2 right parenthesis
M u l t i p l y i n g space e q u a t i o n space left parenthesis 1 right parenthesis space b y space 5 space a n d space e q u a t i o n space left parenthesis 2 right parenthesis space b y space 2 comma space w e space g e t
10 x plus 25 y equals 100 space space space space space.... left parenthesis 3 right parenthesis
10 x plus 4 y equals 100 space space space space space.... left parenthesis 4 right parenthesis
S b t r a c t i n g space left parenthesis 4 right parenthesis space f r o m space left parenthesis 5 right parenthesis comma
21 y equals 0
rightwards double arrow y equals 0
S u b s t i t u t i n g space y equals 0 space i n space left parenthesis 1 right parenthesis comma
2 x plus 5 left parenthesis 0 right parenthesis space equals space 20
rightwards double arrow 2 x plus 0 equals 20
rightwards double arrow 2 x equals 20
rightwards double arrow x equals 10
T h u s comma space x equals 10 space a n d space y equals 0
end style
Answered by Expert 1st August 2016, 10:55 AM
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