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Earn +20 ptsQ: Can a system of linear equations in two variables have zero solutions?
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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
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.
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