Solving Linear Equation part 1

Nanda Putri Amalia
11313244012
International Mathematics Education 2011

An Equation is a statement that two expression on quantities are equal.
An equal sign (=) is always a part of an equation.
Equality can be true, false, or neither.
the example:
3+5=8, this equation is true
8-2=8, this equation is false
now lets take a look an equation that a neither,
x+4=9, so this is neither true or false.
because I don't know what the value of x is?
if x=2, what we get?
2+4=9, so this equation is false
now lets change, if x=5
5+4=9, is true
the goal of this lesson is to find all the values of variable that would make an equation true.

• a solution is a value that when substituted in place of a variable, makes an equation true


• the solution set is the set of all solutions, SS = {5}

Example 1

Determine whether x=1 is a solution of the equation 2x+2=4

what should we do?

2( )+2=4

and we want x=1, so I wanna replace the x to 1

2(1)+2=4

we haven't know whether this equation is true or false until we continue until the operations is end

2+2=4

4=4 (reflexive property)

we get the equation is true, so SS={1}