If 2√x+y=6 and 3x+√y=8, then find the value of x & y
Answers
Given : 2√x+y=6 and 3x+√y=8,
To Find : Value of x & y
Solution:
2√x+y=6 => max value of y = 6 as √x can not be -ve
3x+√y=8 => max value of x = 8/3 as √y can not be -ve
as √x and √y are there hence x & y can not be - ve
0 ≤ x ≤ 8/3
0 ≤ y ≤ 6
3x+√y=8 and y max = 6
=> x min = (8 - √6)/3 = 1.85
2√x+y=6 and x max = 8/3
=> y min = 2.734
1.85 ≤ x ≤ 8/3
2.734 ≤ y ≤ 6
Now using approximation method or drawing both graph between these values , we can conclude that
Approximate value satisfying this is
x = 2.08
y = 3.12
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Answer:
Step-by-step explanation: