What do you think would happen if I told you that there was a working model of a linear equation in one variable that worked? There is a working model of a linear equation in one variable that is working right now.
It’s the 3 x 3 worksheet, and the reason it’s working is because the formula for solving for the two variables in the equations is constant. As long as you are allowed to refer to your data twice, you can solve for x and y. Just remember that these two variables will be half of the number you get by multiplying them.
Here’s another way to put it. If you want to solve for the y variable by taking the log of the x, then you can do it by using the single variable model to solve for x and the y variable by taking the log of the x.
In the above example, we saw that the first row was an equation in one variable, and the second row was the function, so that we could substitute in the two variables. The third row was the three equation in one variable model, but the fourth row was a function.
This way of computing the one variable linear equation could just as easily have been written as a three equation in one variable model. Instead of log(x) = log(y), we would have log(x) = f(x) + I(x). Log(x) is still a good approximation for x, and in this case, we are really only computing the y variable.
The better way to describe what’s going on here is that we’ve got the linear equation y = f(x) written in a table, and f(x) is computed in a function. In the one variable model, we have the equation y= f(x) is a function.
This is a very simple model of a linear equation in one variable, and it works. It was a simple model, because the function f(x) and x were written as single variables.
Another way to think about it is that we’ve built up the equation of a linear equation in one variable, and then we’ve solved it with two functions. This is what you should be looking for in your linear equation solver.