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The solution is the ordered pair (5, -2) .

Q: What is the solution of the system of linear equations x equals 5 y equals -2?

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Cramer's rule is applied to obtain the solution when a system of n linear equations in n variables has a unique solution.

The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.

That they, along with the equations, are invisible!

As there is no system of equations shown, there are zero solutions.

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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 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 linear equations can only have: no solution, one solution, or infinitely many solutions.

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.

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.

The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.

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