Equations with a Variable and a Constant on Each Side
Strategies for working with equations containing both constant and variables on each side of the equation.
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.
Factor: x2 5x - 24
A quadratic trinomial in which the last term is negative is factored.
Factor: a2 - ac - ab bc
When grouping terms, the goal is to end up with an expression that is equal to the original polynomial. Close attention to the signs is necessary to ensure a correct outcome. Remember that a minus sign in front of parentheses is the same as subtract...
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 ...
Multiplicative Inverses
Every number has an additive inverse. The concept of inverses in algebra is explained and the use of additive inverses is demonstrated.