Respuesta :
A solution to a system of equations is a value that, when substituted for unknown variables, causes the equations to be true.
A system of linear equations is made up of two or more linear equations made up of two or more variables, and all equations in the system are considered at the same time.
The set of all values that, when substituted for unknowns, make the equations true is referred to as the solution of a system of equations.
To find the unique solution to a system of linear equations, we must find a numerical value for each variable in the system that simultaneously solves all of the equations in the system.
Some linear systems have no solution, while others have an infinite number of solutions.
There are three types of two-variable linear equation systems and three types of solutions.
- An independent system only has one solution pair (x,y). The only solution is where the two lines intersect.
- A system that is inconsistent has no solution. Take note that the two lines are parallel and will never cross.
- And the dependent system of equations has an infinite number of solutions. The lines are parallel. Because they are the same line, every coordinate pair along it is a solution to both equations.
As a result, a solution to a system of equations is a value that, when substituted for unknown variables, causes the equations to be true.
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