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

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∙ 12y ago

Updated: 11/1/2022

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∙ 12y ago

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

A.infinitely manyB.oneD.zero

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.

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.

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

None, one or infinitely many.

What is a system of linear equations in two variables?

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.

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