Question

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 6 x − y = 2

Answer 1

(4,2). DEPENDENT

Explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

`y = 6 - x` (red line) and
`y = x - 2` (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.