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X+y=6X+y = 6 xy=6xy=6 x?x? y?y?

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Full solution

Q. X+y=6X+y = 6 xy=6xy=6 x?x? y?y?
  1. Write Equations: First, let's write down the equations we have:\newline11. X+y=6X + y = 6\newline22. xy=6xy = 6
  2. Solve for y: Now, let's solve the first equation for y:\newliney=6−xy = 6 - x
  3. Substitute into Second Equation: Next, we'll substitute the expression for yy into the second equation: X(6−X)=6X(6 - X) = 6
  4. Expand the Equation: Now, let's expand the equation: 6X−X2=66X - X^2 = 6
  5. Rearrange to Quadratic: Rearrange the equation to form a quadratic equation: X2−6X+6=0X^2 - 6X + 6 = 0

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