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.
Using Parentheses in the Order of Operations
Parentheses indicate a package and are a tool for changing the order of operations.
Distributive Law Demonstrated
The distributive law of multiplication over subtraction defined and explained.
Multiplying and Dividing Both Sides of an Inequality by a Negative Number
It is necessary to reverse the inequality symbol whenever you multiply or divide by a negative number.
Word Problems Simplified by Using Algebra
How to translate word problems into algebraic equations.