SOLUTION: help please 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 ->  Equations -> SOLUTION: help please 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 128760: help please
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 jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2y+=+x+%2B+1 Start with the second equation


2%2A2y+=2%2A%28+x+%2B+1%29 Multiply both sides by 2


4y+=2x+%2B+2 Distribute and multiply



3x+%96+4y+=+0 Now move onto the first equation


3x+%96+%282x+%2B+2%29+=+0 Plug in 4y+=2x+%2B+2


3x+%96+2x+-+2+=+0 Distribute the negative



x-2=0 Combine like terms on the left side


x=0%2B2Add 2 to both sides


x=2 Combine like terms on the right side


So the first part of our answer is x=2

2y+=+2+%2B+1 Now plug in x=2 into the second equation


2y+=+3 Add


y+=+3%2F2 Divide both sides by 2 to isolate y


So the second part of our answer is y+=+3%2F2



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Answer:

So our solution is

x=2 and y+=+3%2F2