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No. There are none, one or infinitely many solutions. No other value is possible.
A system of two linear equation can be represented by two straight lines in space (of 2 or more dimensions).
Such lines can be non-intersecting (0 solutions),
or they can intersect at one point (1 solution),
or they can be coincident (infinitely many solns).
Two non-intersecting lines in 2-d space must be parallel but in spaces of 3 or more dimensions they can simply be non-coplanar. For example, imagine you are in a cuboid room. One line is the join of the walls to your left and behind you, the other line is where the floor meets the far wall. These lines are not parallel but they do not meet.
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Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
There is a system of linear equations with exactly two solutions is it true or false?
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
Can a system of two linear equations have exactly two solutions?
Yes, a system can, in fact, have exactly two solutions.
If a system of equations is independent how many soultions will it have?
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.
A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
If a system of linear equations has exactly one solution then the two lines are what?
perpendicular
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
Can a system of two linear equations in two variables have 3 solutions?
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
