SOLUTION: Please help me solve the following system by substitution method to determine whether the equations are independent, dependent, or inconsistent. y = -3x + 19 y = 2x - 1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help me solve the following system by substitution method to determine whether the equations are independent, dependent, or inconsistent. y = -3x + 19 y = 2x - 1      Log On


   

Question 334821: Please help me solve the following system by substitution method to determine whether the equations are independent, dependent, or inconsistent.

y = -3x + 19
y = 2x - 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.y+=+-3x+%2B+19
2.y+=+2x+-+1
Substitute eq. 1 into eq. 2,
-3x%2B19=2x-1
-5x=-20
x=4
Then use either equation to solve for y.
y=-3%284%29%2B19
y=-12%2B19
y=7
Since the system has a unique solution, it is consistent and independent.