Question 11748
4x+7y=65

There are many ways to solve this solution.  The easiest way would be to put the equation in slope intercept form- y=mx + b and then graphing the equation.

7y = -4x + 65
y = -4/7x + 65/7


{{{ graph( 300, 300, -70, 70, -70, 70,-4/7x + 65/7) }}} 

The solution is all sets of numbers that lie on the line.  In this case, infinite solutions.