# 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 $\begin{cases} 6 x^{2} - 30 \sqrt{2} x + 8 y^{2} - 8 \sqrt{2} y + 67=0 \\ x=2 \sqrt{2} \end{cases}$ for $x$, $y$.

$x=2 \sqrt{2}\approx 2.82842712474619$, $y=- \frac{\sqrt{2}}{4}\approx -0.353553390593274$
$x=2 \sqrt{2}\approx 2.82842712474619$, $y=\frac{5 \sqrt{2}}{4}\approx 1.76776695296637$