kitty<3: Hello cheetah970,
Yes, there is. I haven't tried this, but the administrator posted it a long time ago. Here is the link:
http://web2.0calc.com/questions/systems-of-equations
For the equations:
2y-3z = 4
-y + 7z = -12
You would put in something like this:
solve( 2 * y - 3 * z = 4 , - y + 7 * z = - 12)
But I tried your equation, and strangely it doesn't work. Maybe it is a typo?
Sorry I couldn't help a lot; maybe when Melody or some of the other people come on they may be able to help you:)
I am just playing with what Kitty has shown me, I haven't played with this before.
The first 2 equations give errors, the next 2 give wrong answers the last one, that admin did, gives an answer. I haven't checked the answer but I assume it is correct. Maybe I shouldn't assume that.
[input]solve(x^2+y^2=169,0.5*x*y=30)[/input]
[input]solve(sqrt(169-x^2)=y, 0.5*x*y=30)[/input]
[input]solve(sqrt(169-x^2)=y, y=1)[/input]
[input]solve(sqrt(169-x)=y, y=1)[/input]
[input]solve(2*-3*z=4, -y+7*z=-12)[/input]
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Alright, I have probably established that the Web2 calc is not great for this, let's look elsewhere.
I used "Desmos Graphing calculator" to get this answers. This is a free online calc.
With this calculator I had to cut the circle in 2 and do it in 2 halves. This is because Desmos (and many other calculators) can only deal with functions. A circle is not a function. So it has to be split into a top half and a bottom half.
highlight the web address, right click and choose 'goto'
https://www.desmos.com/calculator/r3xe8e3rn5
I also used 'WolframAlpha',another free online calculator, which is probably a better choice for this question.
https://www.wolframalpha.com/input/?i=x%5E2%2By%5E2%3D169%2C+0.5xy%3D30
I hope that helps