﻿ Solving More Complicated Linear Equations with Integer Coefficients
SOLVING MORE COMPLICATED
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)
• An example is given below.
Want more details, more exercises?
• Need some simpler practice first?

EXAMPLE:
Solve: $3 - 2x = 5x + 1$
Solution: Write a nice clean list of equivalent equations:
 $3 - 2x = 5x + 1$ (original equation) $3 = 7x + 1$ (add $\,2x\,$ to both sides) $2 = 7x$ (subtract $\,1\,$ from both sides) $\frac{2}{7} = x$ (divide both sides by $\,7\,$) $x = \frac{2}{7}$ (write in the most conventional way)
Master the ideas from this section

When you're done practicing, move on to:
Solving Linear Equations Involving Fractions

For more advanced students, a graph is displayed.
For example, the equation $\,3 - 2x = 5x + 1\,$
is optionally accompanied by the graph of $\,y = 3 - 2x\,$ (the left side of the equation, dashed green)
and the graph of $\,y = 5x + 1\,$ (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: