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.
Your input: solve $$$\begin{cases} 6 x^{2} - 30 \sqrt{2} x + 8 y^{2} - 8 \sqrt{2} y + 67=0 \\ x=3 \sqrt{2} \end{cases}$$$ for $$$x$$$, $$$y$$$.
Answer
$$$x=3 \sqrt{2}\approx 4.24264068711928$$$, $$$y=- \frac{\sqrt{2}}{4}\approx -0.353553390593274$$$
$$$x=3 \sqrt{2}\approx 4.24264068711928$$$, $$$y=\frac{5 \sqrt{2}}{4}\approx 1.76776695296637$$$