5x+2y=8 and 9x -5y=23 by comparison method
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ANSWER:
y = -1,x = 2
STEPS:
Here is your answer by using comparison method
5x+2y = 8 -- (i)
9x-5y = 23 -- (ii)
In equation (i(),
5x+2y = 8
5x = 8-2y
x = (8-2y)/5 -- (iii)
In equation (ii),
9x-5y = 23
9x = 23+5y
x = (23+5y)/9 -- (iv)
On comparing equation (iii) and (iv),we get
(8-2y)/5 = (23+5y)/9
(8-2y)×9 = (23+5y)×5
72-18y = 115+25y
72-115 = 25y+18y
43y = -43
y = -43/43
y = -1
On Substituting the value of y in the equation (iv),
we get
x = {23+5×(-1)}/9
x = (23-5)/9
x = 18/9
x = 2
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