No. The origin must be a solution for any direct variation.
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If a system of equations is inconsistent, there are no solutions.
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.
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
if a dependent system of equation is solved, how many solutions will there be?
Yes, a system can, in fact, have exactly two solutions.