Solving systems of equations in three variables calculator

The equations solver tool provided in this section can be used to solve the system of linear equations with three unknowns.  


Enter the coefficients of x, y and z.


            x  +   y   +   z   =   
            x  +   y   +   z   =  
            x  +   y   +   z   =  

                                      

           Result :
                              x   =  
                              y   =  
                              z   =  


Solving systems of equations in three variables calculator

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Learn how to use the Algebra Calculator to solve systems of equations.

Example Problem

Solve the following system of equations:
x+y=7, x+2y=11

How to Solve the System of Equations in Algebra Calculator

First go to the Algebra Calculator main page.

Type the following:

  1. The first equation x+y=7
  2. Then a comma ,
  3. Then the second equation x+2y=11

Try it now: x+y=7, x+2y=11

Clickable Demo

Try entering x+y=7, x+2y=11 into the text box.

Solving systems of equations in three variables calculator

After you enter the system of equations, Algebra Calculator will solve the system x+y=7, x+2y=11 to get x=3 and y=4.

Solving systems of equations in three variables calculator

More Examples

Here are more examples of how to solve systems of equations in Algebra Calculator. Feel free to try them now.

  • Solve y=x+3, y=2x+1: y=x+3, y=2x+1
  • Solve 2x+3y=5, x+y=4: 2x+3y=5, x+y=4

Need Help?

Please feel free to Ask MathPapa if you run into problems.

  • Algebra Calculator Tutorial

Simultaneous Linear Equations Solver for Three Variables

This calculator calculates for the three unknown variables in three linear equations. Just put in the coefficients of the variables and the equivalent sum to the right of the equation. Please fill in all input boxes. If an equation does not include a certain variable put zero as the coefficient for that variable. The equations are expressed a little differently than you would normally see them. For example, x+y+z=44 would be expressed as 1x+1y+1z=44 which is still mathematically correct. 2x-3y+5z=12 would be expressed as 2x + -3y + 5z = 12 which is also mathematically correct. A minus operator is replaced by a plus operator and a negative coefficient of a variable. Coefficients to variables can be negative numbers. This method of inputting coefficients is in accordance with the rules of matrix algebra. The number of decimal places in the results can be specified.

Equations
Equation 1: X + Y + Z =
Equation 2: X + Y + Z =
Equation 3: X + Y + Z =
Decimal Places