Question

5/x-2+1/y-2=2 Solve the Equation
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Answer 1

Answer:

x=5

y=1

Step-by-step explanation:

5/x-2+1/y-2=2

=⟩5(y-2)+1(x-2)/(x-2)(y-2)=2

=⟩5y-10+x-2/x(y-2)-2(y-2)=2

=⟩5y+x-12/xy-2x-2y+4=2

=⟩5y-3/xy-2y-2=2

=⟩5y/xy-2y-2=2+3=5

=⟩y/xy-2y-2=5/5=1

=⟩xy-2y-2/y=1/1=1

=⟩xy-4=1

=⟩xy=1+4=5

Here,y/xy-2y-2=1/1

so,y=1

then,xy=5

=⟩x×1=5

=⟩x=5/1=5

Finaly answer is

x=5

y=1