The point (0, 2) is the only solution to the system of linear equations that contains the equations

y = x + 2 and y = -3x + 2. choose the term that describes the set of equations.

dependent equations
inconsistent equations
cannot be determined
independent equations

The term "independent equation" best describes the set of equations y = x + 2 and y = -3x + 2

Given that , The point (0, 2) is the only solution to the system of linear equations that contains the equations  

System of equation are y = x + 2 ⇒eqn (1) and y = -3x + 2 ⇒ eqn (2)

As the given system of equations has only 1 solution (0, 2) so it is not inconsistent.  

If a consistent system has exactly one solution, it is independent  

If two equations are dependent line equations then they will have infinite solutions. But here system of equations has only one solution.

Then they are not dependent, which means they are independent line equations.

Hence, the given line equations are independent line equations.

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