False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
The slopes (gradients) of the two equations are different.
perpendicular
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.
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.
a linear equation
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
The slopes (gradients) of the two equations are different.
perpendicular
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.
there is no linear equations that has no solution every problem has a solution
An independent system has one solution.
The solution of a system of linear equations is a pair of values that make both of the equations true.
A system of linear equations that has at least one solution is called consistent.
It is a system of linear equations which does not have a solution.
The coordinates of the point of intersection represents the solution to the linear equations.
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.
simultaneous equations