yes it is possible for a system of two linear inequalities to have a single point as a solution.
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.
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:x > 2, andx < 0But a similar example can be made with two variables, as well.x + y > 3x + y < 2If you graph it, you will get two half-planes that don't touch.If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
A single point, at which the lines intercept.
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.
The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.
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.
No it is not if you have a single inequality. It you had a single point as the solution, then it effect you would have an equality. If you have x> or equal to 1 and x< or equal to 1 then the graph is the single point 1. So it is possible with systems of inequalities.
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:x > 2, andx < 0But a similar example can be made with two variables, as well.x + y > 3x + y < 2If you graph it, you will get two half-planes that don't touch.If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
Single answer. Coincidental (same equation), No solution.
A single point, at which the lines intercept.
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.
A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.
This is a linear equation in two variables and the coordinates of each and every point on the line that it describes is a solution. A single linear equation does not have an "answer".
It is a linear equation in the single variable, m. It has the solution m = 0
It is not possible to solve a single linear equation in two variables.
It is not possible to solve a single linear equation in two unknown variables.