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.
Variables and the Greatest Common Factor
To factor completely, the greatest common factor must include every number and variable that is a factor of each term in the polynomial. A demonstration of how variables can be a part of the greatest common factor.
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.
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.
When to Factor Instead of Using the Quadratic Formula
It makes sense to factor instead of using the quadratic formula when it's easy to find two numbers whose sum is the same as the middle term's coefficient and whose product is equal to the leading coefficient multiplied by the last term. An example i...
Adding Like Terms
Demonstration of how to add like terms in an algebraic expression and application of this skill to a practical problem.