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A set of equations is inconsistent, if its solution set is empty.

Q: How many solutions does a system of linear equations have if it is inconsistant?

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

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.

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

A.infinitely manyB.oneD.zero

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

As there is no system of equations shown, there are zero solutions.

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

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.

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

Yes.

A.infinitely manyB.oneD.zero

1

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

They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of 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

Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.