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.
1
A set of equations is inconsistent, if its solution set is empty.
dependent
None, one or infinitely many.
As there is no system of equations shown, there are zero solutions.
A system of linear equations can only have: no solution, one solution, or infinitely many 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.
1
A set of equations is inconsistent, if its solution set is empty.
dependent
None, one or infinitely many.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
If a system of equations is inconsistent, there are no solutions.
The three types arethe system has a unique solutionthe system has no solutionsthe system has infinitely many solutions.
There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.