Question

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

y = -3x + 4
x + 1/3y = 4/3

Answer 1

Replace 'y' with -3x+4


`x + (1)/(3) (-3x+4) = (4)/(3) \\ \\ x -x + (4)/(3) = (4)/(3) \\ \\ (4)/(3) = (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.