exam Maths Puzzle Numerical Ability

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!

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exam Other Question

5x+4y=6 Hello, I worked this problem and only got half credit.
How can I work this as a systems of equations
x^2+y^2=25
5=x+y
This is what I did
x=5-y
(y-5)^2+y^2=25
2y-y^2-25=0