Example of Multiplying Both Equations
There is always more than one way to solve a system of equations with the elimination method. This example includes tips for deciding which term to eliminate.
Example of Solving Systems with Fractions
Solving another system of equations using multiplication and the least common denominator to find the solution.
Example of Using Multiplication to Change Terms
Two different ways of using multiplication in a system of equations to eliminate a variable are demonstrated.
Using Multiplication to Eliminate the 'x' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to eliminate the 'x' variable.
Using Multiplication to Eliminate the 'y' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to eliminate the 'y' variable.
Using Least Common Multiples to Eliminate a Variable
A strategy that can sometimes make it easier to find the solution to a system of equations is using the least common multiple of the coefficients. The advantage to this strategy is that you will have small numbers in the system to work with, but it ...
Using Multiplication to Change Terms
How to use the multiplication property of equality to generate terms that are additive inverses so the elimination method can be employed to solve a system of equations.
Using Elimination Twice to Solve a System
To avoid working with fractions or other awkward numbers, it is sometimes preferable to eliminate twice instead of eliminating and then substituting.
Using Division to Change Terms
In addition to addition, subtraction, and multiplication, division can be used to change the numbers in a system.
When Elimination and Substitution are Equally Convenient
When a system of equations gives no clear direction toward either the substitution method or the elimination method, use the one you prefer.