exam Maths Puzzle Numerical Ability

3x-6y=9 4x-2y=24

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Hi I need help with rational equations. The directions say to solve the equation choosing a method.

42. x/9-8/x=1/9

43. (x+42)/x = x

If you can do these and explain them I would very much appreiciate it.

Thank You! does this equation describe an ellipse? 5y^2-18x+7=20y+3x^2-16

this is what I did

-3(x^2+6x+9) + 5(y^2-4y+4)=-23+20+(-27)

-3(x+3)^2/-30 + 5(y-2)^2/-30=-30/-30

(x+3)^2/-10 + (y-2)^2/-6=1