How do you solve the system #y = -x + 2#, #2y = 4 - 2x#?
1 Answer
Explanation:
We can solve this one by substitution. Notice we already know the value of
This is known as linear dependence. What this means is we have two equations, but one is just a multiple of the other. Notice:
Is just
In this situation we have to assign an arbitrary value to one of the variables and express the other variable in terms of this. So for arbitrary
We can write the solutions as:
Since we are assigning a value to
If these two equations are graphed we find that they are exactly the same line.