How do you solve #x+2y=2# and #2x+4y=4#?
This sistem is indeterminate because the second equation is the first multiplied by
Whether you try to solve by substitution or by addition/subtraction, you will eventually get
This tells us that any solution to one equation is also a solution to the other. (The equations are equivalent.) There are other ways to see the same thing:
One equation is simply a multiple of the other.
Though of as equations on lines, the lines coincide.
In slope intercept form, both lines are:
The solutions to the system are exactly the solutions of the equation. (In a sense, there is really only one equation.)
The solution set can be written in various ways. Here are some of them: