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.Com
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)   (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
================
Cheers,
Stan H.

RELATED QUESTIONS

help please Solve by substitution. If a unique solution does not exist, state whether... (answered by jim_thompson5910)
Solve by using either addition or substitution. If a unique solution does not exist,... (answered by fractalier)
Solve by using either addition or substitution. If a unique solution does not exist;... (answered by jayanthihemkos@yahoo.com)
Solve by addition. If a unique solution does not exist, state whether the system is... (answered by jim_thompson5910)
Solve by addition. If a unique solution does not exist, state whether the system is... (answered by MathLover1)
Solve by addition. If a unique solution does not exist, state whether the system is... (answered by jim_thompson5910)
Solve this system of equations by graphing. If a unique solution does not exist, state... (answered by Earlsdon)
Solve this system of equations by graphing. If a unique solution does not exist, state... (answered by checkley71)
Solve by addition or subtraction. If a unique solution does not exist, state whether the... (answered by jim_thompson5910)