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Solving Systems of Linear Equations with Infinitely Many Solutions

When solving systems of linear equations, you can use methods like elimination method to computer solutions to the linear system. Here is a youtube video from patrickJMT using elimination method to determine a system with infinitely many solutions. These systems are called "dependent" systems.

Algebra Basics: Combining Like Terms

In algebra, we will be dealing with "terms" most of the times. By definition, a term can be any of the following:

  • a CONSTANT like 2, 25, x,
  • the product of a number (which is called coefficient) and a variable like –6x, 21y,
  • the product of two or more variables: e.g. a2, xy, 3y2, 5xy

The video above describes the process of combining "like terms" to simplify an algebraic expressions. Please feel free to comment below or post questions if you need assistance.

Introducing i, the imaginary number

When studying Algebra, you will surly encounter the imaginary number, i. What is i? How to calculate expressions involving i?

The denominator of a certain fraction is three more than twice the numerator

The denominator of a certain fraction is three more than twice the numerator. If 7 is added to both terms of the fraction, the resulting fraction is 3/5.

Find the original fraction.

Number: 

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A bill for USD123 was paid with USD5 and USD1 notes.

A bill for $123 was paid with USD5 and USD1 notes. A total of 59 notes was used to pay the bill.

Find how many $5 notes were used.

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