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

The solver of systems of linear equations allows to solve equations with several unknowns: system of equations with 2 unknowns, system of equations with 3 unknowns, system with n unknowns.

**Solving equations with several unknowns** in other words, **solving system of equations online**
is possible through the use of the function solve_equations 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_equations(`[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_equations(`[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.

solve_equations([equation1;equation2;...;equationN];[variable1;variable2...variableN])

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

See also

- 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.
- Find equation of a straight line from two points : equation_straight_line. The equation straight line calculator 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.
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Solve for x calculator : equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
- Inequality calculator : inequality_solver. Inequality solver that solves an inequality with the details of the calculation: linear inequality, quadratic inequality.
- Solve system of linear equations : solve_equations. The solver of systems of linear equations allows to solve equations with several unknowns: system of equations with 2 unknowns, system of equations with 3 unknowns, system with n unknowns.
- Countdown solver : arithmetic_solver. This countdown solver allows finding a target number from a set of integer in using arithmetic operations.