* The equal sign means that what is on one side is equal to or
the same as the other side. * Like variables represent the same
unknowns and unlike variables represent different unknowns. * You
must remember to follow the order of operations. * You should try
to isolate the variable on one side of the equation. * What you do
to one side of the equal sign you must do to the other in order to
keep the equation is balance. * If you add or subtract to one side
of the equation you must do the same to the other side. * If a
variable has a coefficient then use the inverse to isolate the
variable.
Slide 4
3x+4-6x=46
Slide 5
To solve this equation first combine -6x and 3x to get -3x.
This can be done because each of the variables represent the same
unknown. You do this to simplify the equation. The equation will
now look like so: -3x+4=46
Slide 6
* The equation stands at -3x+4=46, now it is time to combine
the constants. * Subtract 4 from both sides of the equation. This
is to keep the equation in balance. Like so: -3x+4-4=46-4 Now the
equation should look like this: -3x=42
Slide 7
The equation should look like: -3x=42. All that is left is to
isolate x. In order to isolate the x, you must divide by the
coefficient of -3. This is because of the inverse relationship.
Like so: -3x/-3=42/-3 So now the equation should be in its simplest
form X= -14
Slide 8
Plug your answer in the place of x to see if your answer is
correct. The original equation was 3x+4-6x=46. Now we know that x=
-14. So substitute x for -14 and make sure the equation works. Once
you substitute -14 for x the equation the problem should look like
this: 3*-14+4-6*-14=46 -42+4+84=46 46=46 Because this is a true
statement, your answer is correct.
Slide 9
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