SOLUTION: Please help solve each system by substitution to determine whether the equations are independent, dependent, or inconsistent. y = -3x + 19 y = x + 8

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help solve each system by substitution to determine whether the equations are independent, dependent, or inconsistent. y = -3x + 19 y = x + 8      Log On


   



Question 334731: Please help solve each system by substitution to determine whether the equations are independent, dependent, or inconsistent.

y = -3x + 19
y = x + 8

Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve each system by substitution to determine whether the equations are independent, dependent, or inconsistent.
y = -3x + 19
y = x + 8
----------
Substitute for "y" and solve for "x":
x+8 = -3x+19
4x = 11
x = 11/4
-----------
Substitute into y = x+8 to get
y = (11/4)+8
y = 43/4
y = 10 3/4
=================
Cheers,
Stan H.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
y = -3x + 19
y = x + 8 subtract one equation from other
-3x+19 -x-8=0
-4x=-11
x=11/4
..
plug value of x in the equation y=-3x+19
y=-3*11/4+19
y=43/4
..
graph%28300%2C300%2C-15%2C15%2C-15%2C15%2C-3x%2B19%2Cx%2B8%29
Independant