Question 1018235
here's a reference on type of systems of equations.


<a href = "http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson" target = "_blank">http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson</a>


the equations you have are dependent because they are equivalent to each other and therefore would generate the same line on the graph.


this means there are an infinite number of possible solutions that are common to both equations.


the best answer that fits is selection B.


the 2 equations are:


-6 + y = 2x and 2y - 4x = 12 


solve for y in the first equation to get y = 2x + 6.


solve for y in the second equaiton to get y = 2x + 6.


the equations are identical.


they have the same slope and the same y-intercept.


they're equivalent.


they fit the definition of dependent equations.


dependent equations are defined as:


here's another link that gives a definition of dependent equations.


<a href = "http://hotmath.com/hotmath_help/topics/consistent-and-dependent-systems.html" target = "_blank">http://hotmath.com/hotmath_help/topics/consistent-and-dependent-systems.html</a>