# How do you solve the system #4x - 3y = 1# and #12x - 9y = 3# by substitution?

##### 1 Answer

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: