Three different kinds: none, one and infinitely many.
there is no linear equations that has no solution every problem has a solution
Yes, it is possible for a system of three linear equations to have one solution. This occurs when the three equations represent three planes that intersect at a single point in three-dimensional space. For this to happen, the equations must be independent, meaning no two equations are parallel, and not all three planes are coplanar. If these conditions are met, the system will yield a unique solution.
A system of linear equations that has at least one solution is called consistent.
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.
simultaneous equations
anal juice
there is no linear equations that has no solution every problem has a solution
The slopes (gradients) of the two equations are different.
One solution
The solution of a system of linear equations is a pair of values that make both of the equations true.
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
All linear equations are functions but not all functions are linear equations.
A system of linear equations that has at least one solution is called consistent.
TWO linear equations with different slopes intersect in one point, regardlessof their y-intercepts. That point is the solution of the pair.However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.
It is a system of linear equations which does not have a solution.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
The coordinates of the point of intersection represents the solution to the linear equations.