3 variable system of equations calculator with steps

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

Table of Contents Show

Example Problem
How to Solve the System of Equations in Algebra Calculator
Clickable Demo
More Examples
Related Articles
Steps to use 3 Variable System Of Equations Calculator:-
How do you solve a system of equations with 3 variables?
What are the 3 steps to solving an equation?

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:

The first equation x+y=7
Then a comma ,
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.

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.

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

To address frameworks of conditions in three factors, known as three-by-three frameworks, the essential objective is to dispense with each factor in turn to accomplish back-replacement. An answer for an arrangement of three conditions in three factors (x,y,z), ( x , y , z ) , is called an arranged triple.

Steps to use 3 Variable System Of Equations Calculator:-

Follow the below steps to get output of 3 Variable System Of Equations Calculator

Step 1: In the input field, enter the required values or functions.

Step 2: For output, press the “Submit or Solve” button.

Step 3: That’s it Now your window will display the Final Output of your Input.

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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.

How do you solve a system of equations with 3 variables?

To solve a system of three equations in three variables, we will be using the linear combination method. This time we will take two equations at a time to eliminate one variable and using the resulting equations in two variables to eliminate a second variable and solve for the third.

What are the 3 steps to solving an equation?

The following steps provide a good method to use when solving linear equations. Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.