SOLUTION: hello, with the substitution method, how do i show whether its independent, inconsistent or dependent: y = 3x + 11 3x + 3y = 0 tks!

Algebra ->  Linear-equations -> SOLUTION: hello, with the substitution method, how do i show whether its independent, inconsistent or dependent: y = 3x + 11 3x + 3y = 0 tks!      Log On


   

Question 62651This question is from textbook Algebra for college students
: hello,
with the substitution method, how do i show whether its independent, inconsistent or dependent:
y = 3x + 11
3x + 3y = 0
tks! This question is from textbook Algebra for college students

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1st: y = 3x + 11
2nd; 3x + 3y = 0
--------------
Substitute for y in 2nd to get:
3x+3(3x+11)=0
3x+9x+33=0
12x=-33
x=-11/4
----------
Substitute into 1st to solve for "y", as follows:
y=3(-11/4)+11
y=-33/4 + 44/4
y=11/4
----------
Solution:
x=-11/4, y=11/4
The systerm is consistent.
Cheers,
Stan H.