<span>Setting expressions equal to one another gives us an equation.
In an equation, our goal is to isolate the variable; we must "undo" everything that has been done to the variable. We work backward; the last thing done to the variable will be the first thing we undo.
We "undo" things by performing the opposite operation; for instance, if the last thing done to our variable was that 3 was subtracted from it, we would undo that first by adding 3 to both sides.
What we do to one side we must do to the other in order to preserve equality.
We would continue this process of working backward until the variable was isolated; this would give us our solution.</span>
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
For this case we must solve the following system of equations:
We multiply the first equation by -2:
We add the new equation with the second one:
We have different signs subtracted and the sign of the major is placed:
Now we find the value of the variable "y":
Thus, the solution of the system is given by:
Answer:
Write the equation of the line through (5,-4); m = 1
