Complex 2 variables and 2 unknown abstract question

[EngineeringDave]

The overall question is on non steady fluid mechanics however the part on stuck on boils down to the two equations below, which I am unable to solve.

X = 122.3 (2 - Y)

Y= 0.18 * SQRT( 100 + X )

the text states the equations are satisfied by Y = 1.903 and X = 11.82.

To prove this isn't a homework I will upload a picture of the solution given.

Regards

 

[mfb]

It is still like a homework question.

If you solve the first equation for Y, square both equations and set them equal, you get a quadratic equation for X. Solving this gives the solutions for Y afterwards.

 

[EngineeringDave]

The page its from is actually a question solution however they didn't explain how to solve that particle part.

I did as you said earlier, however, the b^2-4ac section came out negative so I was unsure I was going in the right direction.

Anyone able to advise?

Regards

 

[EngineeringDave]

*Particular

Sorry

 

[mfb]

however, the b^2-4ac section came out negative

Then you have a calculation error somewhere, as the approach works.