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MA 15200
Lesson 10
Section 1.2
I
Solving Linear Equations in One Variable
A
linear equation in one variable
x
is an equation that can be simplified or written in
the form
0
ax b
+ =
, where
a
and
b
are real numbers,
0
a
≠
.
In other words, it is an
equation where the variable is only to the first power.
Solving an equation
involves determining all values for the variable that result in a true
statement when substituted into the equation.
We say the value(s) found
satisfy
the
equations.
The set of all such values that satisfy the equation are listed in the
solution
set.
Equations can be solved by
1.
Clearing parentheses using the distributive property.
2.
Combining like terms on each side.
3.
Adding or Subtracting terms from both sides of the equation so that variable terms
are on one side and numbers are on the other side.
4.
Multiplying or Dividing both sides by a non-zero number.
*Study Tip:
See the Study Tip on page 103 of the textbook that shows the difference

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