One solution infinite solution no solution calculator

This calculator solves Systems of Linear Equations using Gaussian Elimination Method, Inverse Matrix Method, or Cramer's rule. Also you can compute a number of solutions in a system of linear equations (analyse the compatibility) using Rouché–Capelli theorem.

Enter coefficients of your system into the input fields. Leave cells empty for variables, which do not participate in your equations. To input fractions use /: 1/3.

• 2x-2y+z=-3 x+3y-2z=1 3x-y-z=2

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.

Solving system of linear equations

Write each equation on a new line or separate it by a semicolon. The online calculator solves a system of linear equations (with 1,2,...,n unknowns), quadratic equation with one unknown variable, cubic equation with one unknown variable, and finally, any other equation with one variable. Even if an exact solution does not exist, it calculates a numerical approximation of roots.

Examples:

x+y+z=100
3x-6y+2z=50
y-3z+x=(44-22)x+45

(x+4)(x-3)+34x+6x^2 = 256

Our mission:

Provide simple, fast, and reliable mathematical service for solving any equation(s).

More info:

Unknowns (variables) write as one character a-z, i.e., a, b, x, y, z. No matter whether you want to solve an equation with a single unknown, a system of two equations of two unknowns, the system of three equations and three unknowns, or a linear system with twenty unknowns. The number of equations and the number of unknowns should be equal, and the equation should be linear (and linear independent). Then you can be expected that the equations have one solution.
It is not necessary to write equations in the basic form. The calculator quickly performs equivalent operations on the given linear system.

Home > Algebra calculators > Determine whether the system of linear equations has No solution calculator Method and examples Method   Determine whether the system of linear equations has No solution   Enter Equations line by line Find system has `2x+5y=16,3x+y=11` `2x+5y=16,4x+10y=32` `2x+5y=16,4x+10y=20` `2x+y=8,x+2y=1` `2x+2y+z=5,x-y+z=1,3x+y+2z=4` `2x+y+z=5,3x+5y+2z=15,2x+y+4z=8` `x+y+z=3,2x-y-z=3,x-y+z=9`   Mode = Decimal Place = SolutionHelp Share this solution or page with your friends.

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