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