Find all ordered pairs of real numbers that satisfy both the equations `x^2 +y^2=2 xy` and `x^2+y^2=6x+6y+2`

Find all ordered pairs of real numbers that satisfy both the equations x^(2)+y^(2)=2xy and x^(2)+y^(2)=6x+6y+2

The number of ordered pairs (x,y) of real numbers that satisfy the simultaneous equations x+y^(2)=x^(2)+y=12 is

Find all ordered pairs (x,y) of real numbers such that x^(2)+4y^(2)-xy=10,2x-4y+3xy=11

Find all the pairs of x,y that satisfy the equation cos x+cos y+cos(x+y)=-(3)/(2)

The number of ordered pairs of integers (x,y) satisfying the equation x ^2+6x+y^2 =4 is

Find the number of ordered pairs of natural numbers (x, y) satisfying the equation: (xy-1)^(2) = (x+1)^(2) + (y+1)^(2)

Find the number of ordered pair of real numbers (x, y) satisfying the equation: 5x(1+1/(x^(2)+y^(2)))=12 & 5y(1-1/(x^(2) + y^(2))) =4

Find the real numbers (x,y) that satisfy the equation: xy^(2) = 15x^(2) +17xy + 15y^(2) x^(2)y = 20x^(2) + 3y^(2)