How do you solve the system #4x - 3y = 1# and #12x - 9y = 3# by substitution?
Dividing both sides of the second equation by
which is the same as the first equation.
If we attempt to solve the system by substitution, then we will find that all of the terms in
For example, if we take the first equation and add
Substitute this in the second equation:
As a result, there are not enough constraints to determine a unique solution, but there are an infinite number of solutions.
These solutions are the points on the line which in slope intercept form is described by the equation: