What is the solution to the system of equations #3x+y=16# and #2x+2y = 6#?
We will solve this by "elimination"; that is we will attempt to combine the given equations in some way so that we end up with an equation with only one variable (we "eliminate" the other variable).
Looking at the given equations we can see that simply adding or subtracting one from the other will not eliminate either variable;
however, if we first multiply equation  by
No we can divide both sides of equation  by
Now we can use this value of
For example, substituting
:  with
[Note: you really should check this result: