

All three methods will give the same solution. I hope this gives you some idea about which method you should use.

Elimination is also the best method to use if all of the variables have a coefficient other than 1. Elimination is best used when both equations are in standard form (Ax + By = C). If you are not sure which method to use, I recommend that you use elimination.
#3 variable system of equations solver by substitution how to
It also works well if one of the variables has a coefficient of 1.Įlimination: Elimination is the method that I use almost every time. How to solve a system of 3 equations and 3 variables using substitution to get two 2-variables equations, then elimination to solve for the 3 variables. Substitution is best used when one (or both) of the equations is already solved for one of the variables. Substitution: Substition gives that advantage of having an equation alrady written for the second variable when you find the first one. I only recommend graphing to find a solution if the problem comes with a graph already drawn and the intersection appears to be on an exact coordinate. For example, the system of 3 equation solver that consider as. where, a, b, and c are called the coefficients of the equation. Graphing is less exact and often takes more time than the other methods. If a, b, c, and r are the real numbers and if a, b, and c are not all equal to 0, then ax + by + cz r is called a linear equation in three variables. Graphing: Graphing is the best method to use when introducing a new student to solving systems of two equations in two variables, because it gives them a visiual to recognize what they are looking for. All three methods will get the same answer, but each one has advantages and disadvantages. These are graphing, substitution, and elimination. There are three methods that are usually used to solve the a system of equations.
