Express y in terms of x from the equation 5y-3x=10and then write three solutions
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Answer:
Given,
5y - 3x = 10
Now, let us express y in terms of x.
5y - 3x = 10
=> 5y = 10 + 3x
=> y = (10 + 3x) / 5
Now for the value of y,
CASE I :
Here, x = 1
Then,
y = (10 + 3×1) / 5 = (10 + 3) )/5 = 13/5 = 2.6
Hence, x = 1, y = 2.6
CASE II :
Here, x = 2
Then,
y = (10 + 3×2) / 5 = (10 + 6) / 5 = 16/5 = 3.2
Hence, x = 2 , y = 3.2
CASE III :
Here, x = 3
Then,
y = (10 + 3×3) / 5 = (10 + 9) / 5 = 19/5 = 3.8
Hence, x = 3 , y = 3.8
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