SOLUTION: Solve by substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 3x – 4y = 0 2y = x + 1

Algebra ->  Expressions-with-variables -> SOLUTION: Solve by substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 3x – 4y = 0 2y = x + 1       Log On


   



Question 128594: Solve by substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
3x – 4y = 0
2y = x + 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
3x – 4y = 0
2y = x + 1
--------------------
x= 2y-1
Substitute to solve for "y":
3(2y-1)-4y = 0
2y=3
y = 3/2
-------------------
Substitute into x = 2y-1 to solve for "x":
x = 2(3/2)-1
x = 2
--------------
Final solution: x = 2 ; y = 3/2
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Cheers,
Stan H.