
A)[\ x + y =1,x2 + y2 = 1;6)Slxl+ly1=3(x²y² = 4;


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It seems like you have provided two sets of equations. Let's solve them one by one:
Set A:
- x + y = 1
- x^2 + y^2 = 1
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method:
From equation 1, we can express x in terms of y: x = 1 - y
Substituting this value of x in equation 2: (1 - y)^2 + y^2 = 1 Simplifying the equation: 1 - 2y + y^2 + y^2 = 1 2y^2 - 2y = 0 2y(y - 1) = 0
So we have two possible solutions for y:
- y = 0
- y - 1 = 0, which gives y = 1
For y = 0: x = 1 - 0 x = 1
For y = 1: x = 1 - 1 x = 0
Therefore, the solutions to Set A are: Solution 1: (x = 1, y = 0) Solution 2: (x = 0, y = 1)
Set B:
- 6x + y = 3
- x^2y^2 = 4
We can start by rearranging equation 1 to solve for y: y = 3 - 6x
Substituting this value of y in equation 2: x^2(3 - 6x)^2 = 4 Expanding the equation: x^2(9 - 36x + 36x^2) = 4 9x^2 - 36x^3 + 36x^4 = 4 9x^4 - 36x^3 + 9x^2 - 4 = 0
Unfortunately, this equation cannot be easily solved analytically. You might need to use numerical methods or approximation techniques to find the values of x that satisfy this equation.
I hope this helps you with the given sets of equations. If you have any further questions, please, let me know!


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