The solve_system function allows to solve equations with several unknowns: Equation 2 unknown systems, systems of equations with 3 unknown in n unknowns systems.

Solve_system online

**Solving equations with several unknowns** in other words, **solving system of equations online**
is possible through the use of the function solve_system of the calculator.
The calculator allows the **resolution system online** of several types, it is possible :

- to
**solve systems of equations with two unknown online**, - to
**solve systems of equations with three unknowns online**, - and more generally, the
**resolution of online systems equation**with several unknowns.

With its ability to algebra, the calculator can **solve equations with two unknown** or **solve equations with 3 unknowns** involving letters (literal calculation).

The calculator is an **equation system solver** that uses a very simple syntax to solve systems of linear equations that admit a single solution.

There are several methods to solve a system of 2 equations with 2 unknowns:
the **substitution method**, the **combination method**, the **graphical method**, **Cramer's method**.

- The
**combination method**consists in eliminating one of the variables thanks to arithmetic operations on the equations; - The
**substitution method**consists of expressing one of the variables as a function of the other and then replacing to arrive at an equation with one unknown; - The
**method of graphically**solving makes it possible to conjecture the solution which will have to be verified by the calculation, the graphical method consists in representing the straight lines which correspond to the equations, then "reading" the coordinates of the point of intersection, the graphical calculator makes it possible to carry out this type of operation; **Cramer's method**uses determinants.

The calculator can use these methods to solve equations with 2 unknowns

To **solve the system of 2 equations with 2 unknowns** according to x+y=18 and 3*y+2*x=46, it is necessary to enter
solve_system(`[x+y=18;3*y+2*x=46];[x;y]`) ,after calculation, the result [x=8;y=10] is returned.

To **find the solutions of the systems of 3 equations with 3 unknowns** the calculator can use the substitution method, the combination method or the Cramer method.

Thus for example, to solve the linear system of equations according to x+y+z=1, x-y+z=3, x-y-z=1, it is necessary to enter solve_system(`[x+y+z=1;x-y+z=3;x-y-z=1];[x;y;z]`) , after calculation, the result [x=1;y=-1;z=1] is returned.

The solve_system function allows to solve equations with several unknowns: Equation 2 unknown systems, systems of equations with 3 unknown in n unknowns systems.

- x+y=18
- 3*y+2*x=46

See also :

- Arithmetic solver : arithmetic_solver. This solver allows finding a target number from a set of integer in using arithmetic operations.
- Solving quadratic equation with complex number : complexe_solve. The complex number equation calculator returns the complex values for which the quadratic equation is zero.
- Calculation of the discriminant online : discriminant. Calculator that allows the calculation of the discriminant of a quadratic equation online.
- Equation solver : equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
- Find equation of a straight line from two points : equation_straight_line. The equation_straight_line function allows to calculate the equation of a straight line from the coordinates of two points with step by step calculation.
- Find the equation of tangent line : equation_tangent_line. The tangent line equation calculator is used to calculate the equation of tangent line to a curve at a given abscissa point with stages calculation.
- Inequality calculator : inequality_solver. Inequality solver that solves an inequality with the details of the calculation: linear inequality, quadratic inequality.
- Pythagorean theorem : pythagorean. The function makes it possible to verify by using the Pythagorean theorem knowing the lengths of the sides of a triangle that this is a right triangle. If the sides of the triangle depend on a variable, then the value of the variable is calculated so that the triangle is a right triangle.
- Solve system of linear equations : solve_system. The solve_system function allows to solve equations with several unknowns: Equation 2 unknown systems, systems of equations with 3 unknown in n unknowns systems.