there is no linear equations that has no solution every problem has a solution
The solution of a system of linear equations is a pair of values that make both of the equations true.
It is a system of linear equations which does not have a solution.
A system of linear equations that has at least one solution is called consistent.
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.
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
The coordinates of the point of intersection represents the solution to the linear equations.
a linear equation
simultaneous equations
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.