Question

Use substitution to solve the system of linear equations. In your final answer, include all of your work.

Answer 1

Replace 'y' with -3x+4

$x + \frac{1}{3} (-3x+4) = \frac{4}{3} \\ \\ x -x + \frac{4}{3} = \frac{4}{3} \\ \\ \frac{4}{3} = \frac{4}{3}$

The variable 'x' cancels out, leaving the True statement 4/3 = 4/3
This means that the 2 equations are identical regardless of what x and y are.

Answer: System is consistent and dependent, there are an infinite number of solutions.