traveling to New York, which is 800 miles away, at 75 mph.
Due to the nature of the mathematics on this site it is best views in landscape mode.
In this lesson, we'll not only practice solving problems that can be translated into linear equations, we'll also focus on problems you may encounter in your life - problems not involving trains passing each other. If we solve for x by subtracting 35 from both sides, we get x = 37. They can be a bit more complex, like this: 15 less than four times a number is 57.
As a reminder, a is just an algebraic expression that represents a line.
I mean, two trains passing each other at 75 and 80 miles per hour won't see each other very long.
Hopefully, the passengers will have finished their linear equation word problems and look up in time to wave.
In other words, a linear equation is an equation that can be written in the form , where are constants multiplied by variables and is a constant.
For the particular case (single variable equation), the resulting equation can be graphed as a point on the number line, and for the case (resulting in a linear function), it can be graphed as a line on the Cartesian plane, hence the term "linear" equation.
This can extended to a general Cartesian n-space, in which the linear equation with the corresponding number of variables can be graphed as an n-1-space - this concept is the idea behind analytic geometry as envisioned by Fermat and Descartes.
Solve these linear equations by clicking and dragging a number to the "other" side of the equal sign.