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System of Equations Calculator

Solve system of equations

This solver (calculator) will try to solve a system of 2, 3, 4, 5 equations of any kind, including polynomial, rational, irrational, exponential, logarithmic, trigonometric, hyperbolic, absolute value, etc. It can find both the real and the complex solutions. To solve a system of linear equations with steps, use the system of linear equations calculator.

Enter a system of equations:
Comma-separated, for example, x+2y=5,3x+5y=14.
Solve for (comma-separated):
Leave empty for automatic determination, or specify variables like x,y.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your input: solve $$$\begin{cases} 0=\frac{h^{2}}{4 f - 4 k} + k \\ 35=k + \frac{\left(20 - h\right)^{2}}{4 f - 4 k} \\ 0=k + \frac{\left(80 - h\right)^{2}}{4 f - 4 k} \end{cases}$$$ for $$$h$$$, $$$k$$$, $$$f$$$.

Answer

$$$h=40$$$, $$$k=\frac{140}{3}\approx 46.6666666666667$$$, $$$f=\frac{800}{21}\approx 38.0952380952381$$$