# MandysNotes

## Step-By-Step How To Solve A Linear Equation Example One

21 March 2010
 4x - 2x - 5 = 4 + 6x + 3 Goal is to isolate x on one side to be able to solve. 2x - 5 = 7 + 6x Combine like terms. 2x - 5 + 5 = 7 + 6x + 5 Add 5 to each side. 2x = 12 + 6x Subtract 6x from each side. -4x = 12 Then, divide both sides by -4 x = -3 CHECK your solution by plugging back into the original equation.

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.  (But I do think this teacher does a fantastic job with his video tutorial series.)

## Step-By-Step How To Solve A Linear Equation Using The Distributive Property

21 March 2010
 2(k - 5) + 3k = k + 6 Use the distributive property to simplify and combine like terms. 2k - 10 + 3k = k + 6 Combine like terms. 5k - 10 = k + 6 Then, add 10 to both sides. 5k = 16 + k Then, subtract k from both sides. 4k = 16 Then, divide both sides by 4 k = 4 CHECK your solution by plugging back into the original equation.

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.  (But I do think this teacher does a fantastic job with his video tutorial series.)

## Linear Equations in One Variable

21 March 2010

As the name suggests, a linear equation in one variable implies that there is only ONE variable, and that the equation involves only real numbers. A linear equation in one variable can be written in this form: Ax + B = C where A does NOT equal zero.

A linear equation is also a first-degree equation, since the greatest power of any variable is 1.

Here are some examples of linear equations in one variable:

x + 2 = -1

x - 3 = 5

3k + 4 = 10