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
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 system of linear equations can only have: no solution, one solution, or infinitely many solutions.
Yes, a system can, in fact, have exactly two solutions.
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
None, one or infinitely many.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.