Solution of a system of linear equations calculator

This calculater solves a system of two equations.
Enter the equations you want to solve.

How do you want the system of equations to be solved?
Equalize the equations.
Insert one equation into the other one.
Add the equations.

If your system consists of more than two equations, enter them in here.

A system of linear equations consists of multiple linear equations. Linear equations with two variables correspond to lines in the coordinate plane, so this linear equation system is nothing more than asking if, and if yes, where the two lines intersect. This implies it can have no solution (if the lines are parallel), one solution (if they intersect) or infinitely many solutions (if the lines are equal).

There are three important ways to solve such systems: by insertion, by equalization and by adding.

Equalization means you solve both equations for the same variable and then equalize them. This means, one variable remains and the calculation is then easy.

Equation systems

This is the system of equations calculator of Mathepower. Enter two or more equations containing many variables. Mathepower tries to solve them step-by-step.

System of 2 linear equations in 2 variables

[1-10] /17 Disp-Num

 

[1]  2022/07/30 09:34   50 years old level / An engineer / Very /

Purpose of useto solve for both variables in 2 equationsComment/RequestThis was very cool, and I love how you arrive at it.

[2]  2021/11/08 17:08   Under 20 years old / High-school/ University/ Grad student / Useful /

Comment/RequestMAth is too hard for me

[3]  2021/08/12 11:08   50 years old level / High-school/ University/ Grad student / Useful /

Purpose of useToo lazy to do the maths myself, looking to do some comparison/confirmation of COVID statistics.Comment/RequestSaved me some time on a calculator.

[4]  2021/01/28 01:36   Under 20 years old / Elementary school/ Junior high-school student / Very /

Purpose of useStudy GuideComment/RequestVery useful for fast answers on 2 equations.

[5]  2021/01/20 11:31   20 years old level / High-school/ University/ Grad student / Useful /

Purpose of useto learn how use it.

[6]  2020/12/01 10:17   60 years old level or over / An engineer / Useful /

Purpose of useFor a bridge building projectComment/Requestuseful for engineers

[7]  2020/07/23 05:40   Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of useSolving StatsComment/RequestPretty Good

[8]  2020/06/23 03:09   Under 20 years old / Elementary school/ Junior high-school student / A little /

Comment/Requestnot able to calculate with root values

[9]  2020/03/20 20:46   Under 20 years old / Elementary school/ Junior high-school student / Useful /

Purpose of usemath presentation/stuck on two linear equation

[10]  2019/11/23 12:00   Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of useNot to lose time.

 

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How do you find the solution to a system of linear equations?

How do I solve systems of linear equations by substitution?.
Isolate one of the two variables in one of the equations..
Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ... .
Solve the linear equation for the remaining variable..

What are the 3 solutions of systems of linear equation?

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

Does PhotoMath solve systems of equations?

Photomath supports arithmetic, integers, fractions, decimal numbers, roots, algebraic expressions, linear equations/inequalities, quadratic equations/inequalities, absolute equations/inequalities, systems of equations, logarithms, trigonometry, exponential and logarithmic functions, derivatives and integrals.

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