If solving a system of linear equations by elimination or substitution I get that 2=3, it means (check all that apply)

If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
If the system of equations is 3 linear equations in 3 variables, there is infinity number of solutions
If the system of equations is 2 linear equations in 2 variables, the system has no solutions
If the system of equations is 3 linear equations in 3 variables, the system has no solutions

Respuesta :

Answer:

If I get 2=3 in solving the system, it means the following:

  • If the system of equations is 2 linear equations in 2 variables, the system has no solutions
  • If the system of equations is 3 linear equations in 3 variables, the system has no solutions

Step-by-step explanation:

The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.

The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.

When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.

constant = constant

So,

If I get 2=3 in solving the system, it means the following:

  • If the system of equations is 2 linear equations in 2 variables, the system has no solutions
  • If the system of equations is 3 linear equations in 3 variables, the system has no solutions