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Yes. The easiest case to see where this is true is in the case that the equations are all of degree = 1, which will yield one solution per variable.

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Q: Can a system of linear equations in two variables have exactly two solutions?
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Related questions

Can a system of two linear equations in two variables have 3 solutions?

No. At least, it can't have EXACTLY 3 solutions, if that's what you mean. A system of two linear equations in two variables can have:No solutionOne solutionAn infinite number of solutions


If a system of equations is independent how many soultions will it have?

A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.


What does it mean for a system of linear equations to have no solutions?

It means that there is no set of values for the variables such that all the linear equations are simultaneously true.


Can a system of linear equations in two variables have infinitely solutions?

Yes.


A system of linear equations in two variables can have solutions?

A.infinitely manyB.oneD.zero


How many solutions does a system of linear equations in three variables have?

1


Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.


There is a system of linear equations with exactly two solutions is it true or false?

False. There can either be zero, one, or infinite solutions to a system of two linear equations.


Can a system of two linear equations have exactly two solutions?

Yes, a system can, in fact, have exactly two solutions.


How many solutions does linear equation in two variable have?

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.


How many solutions can a system of linear equations with two variables?

None, one or infinitely many.


Kinds of system of linear equation in two variables?

There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.