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.Com
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)   (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)   (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
..

Independant

RELATED QUESTIONS

Solve each system by substitution. Determine whether the equations are independent,... (answered by ankor@dixie-net.com)
Please help me solve the following system by substitution method to determine whether the (answered by Fombitz)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)
Solve each system by substitution. Determine whether the equations are independent,... (answered by Mathtut)
Solve each system by substitution. Determine whether the equations are independent,... (answered by checkley77)
Solve each system by substitution. Determine whether the equations are independent,... (answered by stanbon)
Solve each system by substitution. Determine whether the equations are independent,... (answered by Mathtut)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)