﻿ Solving Simple Linear Equations with Integer Coefficients
SOLVING SIMPLE LINEAR EQUATIONS WITH INTEGER COEFFICIENTS
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
• PRACTICE (online exercises and printable worksheets)
• Some examples are given below.
Want more details, more exercises?
• You may want to review these two tools:

EXAMPLES:
Solve: $\,x - 3 = 5\,$
Answer: $x = 8$

Note:
Some of these equations are so simple that you may want to solve them by inspection.
That is, just stop and think:   What number, minus $\,3\,$, gives $\,5\,$?
Solve: $\,2x = 5\,$
Answer: $x = \frac{5}{2}$
Note:
You can input this answer as   2.5   or   5/2 .
That is, you can input answers as fractions or decimals.
Solve: $\,2x - 1 = 5\,$
Answer: $x = 3$
Note:
For some of the more complicated equations,
you may want to use the Addition and Multiplication Properties of Equality.

 $2x-1=5$ original equation $2x=6$ add $\,1\,$ to both sides $x = 3$ divide both sides by $\,2$
Master the ideas from this section

When you're done practicing, move on to:
Solving More Complicated
Linear Equations with Integer Coefficients

For more advanced students, a graph is displayed.
For example, the equation $\,2x - 1 = 5\,$
is optionally accompanied by the graph of $\,y = 2x-1\,$ (the left side of the equation, dashed green)
and the graph of $\,y = 5\,$ (the right side of the equation, solid purple).
Notice that you are finding the value of $\,x\,$ where these graphs intersect.
Click the “show/hide graph” button if you prefer not to see the graph.

 Solve: