Posted by melissa on Wednesday, July 29, 2009 at 1:48pm.
There is an infinite number of solutions to x+3y=56.
Do you particularly favor any one solution?
Since this is a single equation containing two unknowns (x and y), it is not possible to have an explicit solution for x and y.
The given equation expresses the relationship between x and y, namely if one is known , we can find the value of the other.
The relationship can also be expressed as a straight line graph, or by expressing the equation differently:
x+3y=56, or
x=56-3y, or
y=(56-x)/3
The set of possible solution to the equation is called the solution set, which might contain:
{(2,18), (5,17), (8,16), ...}