ZPoston said:
The first step is to identify the variables and quantities involved in the problem. Then, look for equations that contain those variables and see if they can be manipulated to solve for the desired quantity. It may also be helpful to draw a diagram or create a table to organize the information.
Yes, as long as the equations are based on the same fundamental principles and units. For example, you can combine equations from physics and chemistry as both use the same fundamental units of measurement such as mass, length, and time.
The best way to combine equations is to rearrange them so that the desired variable is on one side of the equation and all other variables are on the other side. Then, substitute the rearranged equations into each other to eliminate any repeating variables. Finally, solve for the desired variable.
One common mistake is to substitute the wrong values or variables into the equations. Make sure to double-check that the units and variables are consistent throughout the equations. Another mistake is to forget to account for any negative signs or exponents when rearranging the equations.
Yes, you can use as many equations as needed as long as they have the same variables and are based on the same fundamental principles. However, using too many equations may make the problem more complex and difficult to solve. It is important to use the most efficient and effective combination of equations.