SOLUTION: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent x=1/8y-1 y=1/4x+39 Any help is appreciated.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent x=1/8y-1 y=1/4x+39 Any help is appreciated.      Log On


   

Question 164196: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent
x=1/8y-1
y=1/4x+39
Any help is appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
x =1%2F8y - 1
y =1%2F4x + 39
;
Get rid of the denominators, multiply the 1st equation by 8, 2nd equation by 4
8x = y - 8
4y = x + 156
:
Rearrange the 1st equation for substitution
y = (8x + 8)
:
Substitute (8x+8) for y in the 2nd equation
4(8x+8) = x + 156
:
32x + 32 = x + 156
:
32x - x = 156 - 32
;
31x = 124
x = 124%2F31
x = 4
:
Find y using eq: y =1%2F4x + 39
y =1%2F4*4 + 39
y = 1 + 39
y = 40
:
:
Check solutions in the 1st equation: x =1%2F8y - 1
4 =1%2F8*40 - 1
4 = 5 - 1