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Solving for a Direct Relationship (Literal Equations)
direct variation, literal equations, independent variable, dependent variable
A direct relationship: is one where a change in one variable has an effect on another variable. An example of direct relationship is
y=2x
Here, you see that a change in the independent variable [x] has a direct effect in the change on the dependent variable [y]. Here, y is two times the value of x. However, often times, it may not be readily apparent what the relationship is. So, the following example illustrates this point.
Example:
3y/4=x/2
Multiplying both sides by 4, we get:
4*(3y/4)=(x/2)*4
3y=(2x)
Lastly, dividing both sides by 3, we get:
3y/3=(2x)/3
which becomes:
y=(2x)/3 or y=(2/3)x
So, in the final result here, we see the direct relationship that y is two thirds of whatever the value of x maybe
direct variation, literal equations, independent variable, dependent variable