In a system of linear equations in two​ variables, if the graphs of the equation are the​ same, the equations are ______ equations.

A. Dependent
B. Extraneous
C. Independent
D. Inconsistent

Respuesta :

Answer:

A

Step-by-step explanation:

A system of linear equations can have two or more equations.

The true option is (A) Dependent

When a system of linear equations, then the solutions of the system would be:

[tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]

Where x and y are the variables, and n represents any number

When the solution of a system of equations is any of [tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]

Then, the system of equations is dependent

Hence, the true option is (A) Dependent

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